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\begin{tikzpicture} \begin{axis}[ axis y line = left, axis x line = bottom, tickwidth = 5pt, enlarge y limits = 0.2, xmin = 0, xmax = 5, width = 1.5\columnwidth, height =0.8\textheight, yticklabels={ Foot Motion\\Controller, Handheld VR\\Controller, Desk\\Joystick, Pedals, Sensorized\\Shoes, Gaming Console\\Controller }, ytick = data, xtick = data, bar width = 45pt, xlabel = Number of Teams, xlabel style={ font =\large, align=center }, major grid style = { line width = 0.2pt, draw=gray!50 }, ymajorgrids=false, xmajorgrids=true, xminorgrids=false, major tick length=3mm, minor tick length=2mm, y tick label style={ font =\large, align=center }, x tick label style={ font =\large, align=center }, ] \addplot[xbar,fill=blue] coordinates { (5,5) (4,4) (3,3) (2,2) (2,1) (1,0) }; \end{axis} \node[font=\small, text=white, align=center] at (5,13.5) {Cyberselves $\vert$ Touchlab, i-Botics,\\ NimbRo, Team Northeastern, Team UNIST}; \node[font=\small, text=white, align=center] at (4,11.3) {AlterEgo, AvaDynamics, AVATRINA,\\ Pollen Robotics}; \node[font=\small, text=white, align=center] at (3,9) {Dragon Tree Labs,\\ Last Mile, Tangible}; \node[font=\small, text=black, align=center] at (6.1,6.7) {INBIODROID, Team SNU}; \node[font=\small, text=black, align=center] at (5,4.5) {iCub, Janus}; \node[font=\small, text=black, align=center] at (3.1,2.2) {Avatar-Hubo}; \end{tikzpicture}
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\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1,baseline=(current bounding box.center)] \draw (228.91,104.46) -- (228.96,190.26) ; \draw [color={rgb, 255:red, 47; green, 157; blue, 175 } ,draw opacity=1 ] [dash pattern={on 4.5pt off 4.5pt}] (228.96,190.26) -- (314.77,190.22) ; \draw (314.41,121.72) -- (228.6,121.78) ; \draw (314.72,104.41) -- (314.77,190.22) ; \draw (314.41,141.68) -- (228.6,141.74) ; \draw [dash pattern={on 0.84pt off 2.51pt}] (314.72,159.29) -- (228.91,159.3) ; \draw [dash pattern={on 0.84pt off 2.51pt}] (315.03,177.07) -- (229.22,177.07) ; \draw [color={rgb, 255:red, 177; green, 0; blue, 0 } ,draw opacity=1 ] [dash pattern={on 4.5pt off 4.5pt}] (206.2,190.58) -- (228.96,190.26) ; \draw [color={rgb, 255:red, 177; green, 0; blue, 0 } ,draw opacity=1 ] [dash pattern={on 4.5pt off 4.5pt}] (314.77,190.22) -- (337.53,189.91) ; \draw (338.63,128.05) -- (314.36,128.11) ; \draw (339.41,148.47) -- (315.14,148.53) ; \draw [dash pattern={on 0.84pt off 2.51pt}] (338.33,167.76) -- (314.05,167.76) ; \draw (228.71,128.44) -- (204.43,128.5) ; \draw (229.1,149.25) -- (204.82,149.31) ; \draw [dash pattern={on 0.84pt off 2.51pt}] (228.4,168.15) -- (204.13,168.15) ; \draw (448.5,147.2) .. controls (448.5,141.13) and (453.43,136.2) .. (459.5,136.2) .. controls (465.58,136.2) and (470.51,141.12) .. (470.51,147.2) .. controls (470.51,153.27) and (465.59,158.2) .. (459.51,158.2) .. controls (453.44,158.21) and (448.51,153.28) .. (448.5,147.2) -- cycle ; \draw [fill={rgb, 255:red, 0; green, 0; blue, 0 } ,fill opacity=1 ] (550.25,156.32) -- (530.81,156.32) -- (530.81,136.88) -- (550.25,136.88) -- cycle ; \draw (530.43,147.07) -- (470.51,147.2) ; \draw (214.38,87.99) node [anchor=north west][inner sep=0.75pt] [align=left] {NS5}; \draw (256.77,194.32) node [anchor=north west][inner sep=0.75pt] [align=left] {O4$\displaystyle ^{-}$}; \draw (300.44,87.36) node [anchor=north west][inner sep=0.75pt] [align=left] {NS5}; \draw (195.65,193.54) node [anchor=north west][inner sep=0.75pt] [align=left] {O4$\displaystyle ^{+}$}; \draw (318.2,193.22) node [anchor=north west][inner sep=0.75pt] [align=left] {O4$\displaystyle ^{+}$}; \draw (339.75,127.76) node [anchor=north west][inner sep=0.75pt] [align=left] {D4$\displaystyle ^{+}$}; \draw (339.75,160.51) node [anchor=north west][inner sep=0.75pt] [align=left] {D4$\displaystyle ^{-}$}; \draw (417,172.9) node [anchor=north west][inner sep=0.75pt] {$\mathrm{OSp}( n_{0} |n_{1})$}; \draw (510.5,169) node [anchor=north west][inner sep=0.75pt] [align=left] {SpO$\displaystyle \left( n_{0}^{\mathrm{f}} |n_{1}^{\mathrm{f}}\right)$}; \draw (391,140.9) node [anchor=north west][inner sep=0.75pt] {$\leadsto $}; \end{tikzpicture}
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\begin{tikzpicture} \begin{axis}[ colorbar, colormap/jet, % Choose the colormap you prefer enlargelimits=false, point meta max=0.002166748046875, point meta min=0, axis line style = {draw=none}, tick style = {draw=none}, xtick = \empty, ytick = \empty, colorbar style={ ylabel = {$|T_\text{NL} - T_\text{L}|$}, height=0.7*\pgfkeysvalueof{/pgfplots/parent axis height}, at={(1.05,0.5)}, % Adjust the position to center vertically anchor=west, % Adjust the anchor point }, width=0.8\textwidth ] \addplot graphics [includegraphics cmd=\pgfimage, xmin=0, xmax=1, ymin=0, ymax=1] {fig/eye/results/linearization/normInf.png}; \end{axis} \end{tikzpicture}
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\begin{tikzpicture} \definecolor{crimson2143940}{RGB}{214,39,40} \definecolor{darkgray176}{RGB}{176,176,176} \definecolor{darkorange25512714}{RGB}{255,127,14} \definecolor{forestgreen4416044}{RGB}{44,160,44} \definecolor{lightgray204}{RGB}{204,204,204} \definecolor{mediumpurple148103189}{RGB}{148,103,189} \definecolor{steelblue31119180}{RGB}{31,119,180} \begin{axis}[ enlargelimits=0.05, legend style={ fill opacity=0.8, draw opacity=1, text opacity=1, at={(0.97,0.97)}, anchor=north east, draw=lightgray204}, ybar, legend image code/.code={ \draw [#1] (0cm,-0.1cm) rectangle (0.2cm,0.25cm); }, height=5cm, width=\linewidth, y grid style={darkgray176}, ylabel={maximum SER}, xlabel={number of frames $K$}, ymajorgrids, xtick={0,1,2}, ymin=16.5, ymax=17.15, xmin=-0.5, xmax=2.5, xticklabels={225, 450, 900} ] \addplot [fill=steelblue31119180, steelblue31119180] coordinates { (0, 17.1) (1, 16.64) (2, 16.60)}; \addplot [fill=darkorange25512714, darkorange25512714] coordinates { (0, 17.05) (1, 16.64) (2, 16.60)}; \legend{t-DIP, FMLP} \end{axis} \end{tikzpicture}
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\begin{tikzpicture}[overlay, remember picture] \path (current page.north east) ++(-3.5,-0.4) node[below left] { M. Abate, A Schwartz, X Iuan Wong, W Luo, R Littman, M Klinger, L Kuhnert, D Blue, L Carlone }; \end{tikzpicture}
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\begin{tikzpicture} \draw[line width=1] (0,0) -- (0.,-0.25); \draw[line width=1] (0.25,0) -- (0.25,-0.25); \draw[line width=1] (0.5,0) -- (0.5,-0.25); \draw[line width=1] (0.75,0) -- (0.75,-0.25); \end{tikzpicture}
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\begin{tikzpicture} [sibling distance=10em,level distance=5em] \node {EXPLOIT-UCB$(B)$} child { node {EXPLOIT-UCB$(\textcolor{blue}{nB^2})$} child { node {EXPLOIT-UCB$(\textcolor{brown}{2nB^2})$} child { node {EXPLOIT-UCB$(\textcolor{orange}{3nB^2})$} child { node {} edge from parent [dashed]} child { node {} edge from parent [dashed]} edge from parent node [left] {if $B_t$ reaches $\textcolor{orange}{3nB^2}$ for some $t_3\leq T$}} child { node {ruin with high proba} edge from parent node [right] {else}} edge from parent node [left] {if $B_t$ reaches $\textcolor{brown}{2nB^2}$ for some $t_2\leq T$}} child { node {ruin with high proba} edge from parent node [right] {else}} edge from parent node [left] {if $B_t$ reaches $\textcolor{blue}{nB^2}$ for some $t_1\leq T$}} child { node {ruin with high proba} edge from parent node [right] {else}}; \end{tikzpicture}
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\begin{tikzpicture}[scale = 0.6] \draw[color=blue] (6, 3.5) to[out=0, in=180] (8, 0.5); \draw[color=magenta] (6, 2.5) to[out=0, in=180] (8, 3.5); \draw[color=red] (6, 1.5) to[out=0, in=180] (8, 2.5); \draw[color=cyan] (6, 0.5) to[out=0, in=180] (8, 1.5); \draw[color=red] (8,2.5) to[out=0, in=180] (10,0.5); \draw[color=magenta] (8,3.5) to[out=0, in=180] (10, 3.5); \draw[color=cyan] (8, 1.5) to[out=0, in=180] (10,2.5); \draw[color=blue] (8, 0.5) to [out=0, in=180] (10,1.5); \draw[color=red] (10,0.5) to[out=0, in=180] (12, 3.5); \draw[color=blue] (10,1.5) to[out=0, in=180] (12, 0.5); \draw[color=cyan] (10, 2.5) to [out=0, in=180] (12, 2.5); \draw[color=magenta] (10, 3.5) to [out=-20, in=180] (12, 1.5); \end{tikzpicture}
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\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1] \draw [color={rgb, 255:red, 58; green, 246; blue, 25 } ,draw opacity=1 ][fill={rgb, 255:red, 225; green, 250; blue, 210 } ,fill opacity=1 ][line width=1.5] (261.75,164.88) .. controls (261.75,157.63) and (267.63,151.75) .. (274.88,151.75) .. controls (282.12,151.75) and (288,157.63) .. (288,164.88) .. controls (288,172.12) and (282.12,178) .. (274.88,178) .. controls (267.63,178) and (261.75,172.12) .. (261.75,164.88) -- cycle ; \draw [color={rgb, 255:red, 59; green, 255; blue, 70 } ,draw opacity=1 ][fill={rgb, 255:red, 234; green, 254; blue, 213 } ,fill opacity=1 ][line width=1.5] (374,165) .. controls (374,158.1) and (379.6,152.5) .. (386.5,152.5) .. controls (393.4,152.5) and (399,158.1) .. (399,165) .. controls (399,171.9) and (393.4,177.5) .. (386.5,177.5) .. controls (379.6,177.5) and (374,171.9) .. (374,165) -- cycle ; \draw [color={rgb, 255:red, 208; green, 2; blue, 27 } ,draw opacity=1 ][fill={rgb, 255:red, 255; green, 225; blue, 215 } ,fill opacity=1 ][line width=1.5] (318,58) -- (344,58) -- (344,82) -- (318,82) -- cycle ; \draw (278,150) -- (316.99,83.72) ; \draw [shift={(318,82)}, rotate = 120.47] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (6.56,-1.97) .. controls (4.17,-0.84) and (1.99,-0.18) .. (0,0) .. controls (1.99,0.18) and (4.17,0.84) .. (6.56,1.97) ; \draw (288,166) -- (372,165.02) ; \draw [shift={(374,165)}, rotate = 179.33] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (6.56,-1.97) .. controls (4.17,-0.84) and (1.99,-0.18) .. (0,0) .. controls (1.99,0.18) and (4.17,0.84) .. (6.56,1.97) ; \draw (373,160) -- (289,160) ; \draw [shift={(287,160)}, rotate = 360] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (6.56,-1.97) .. controls (4.17,-0.84) and (1.99,-0.18) .. (0,0) .. controls (1.99,0.18) and (4.17,0.84) .. (6.56,1.97); \draw (324,84) -- (284.03,150.29) ; \draw [shift={(283,152)}, rotate = 301.09] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (6.56,-1.97) .. controls (4.17,-0.84) and (1.99,-0.18) .. (0,0) .. controls (1.99,0.18) and (4.17,0.84) .. (6.56,1.97); \draw (339,84) -- (378.01,152.26) ; \draw [shift={(379,154)}, rotate = 240.26] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (6.56,-1.97) .. controls (4.17,-0.84) and (1.99,-0.18) .. (0,0) .. controls (1.99,0.18) and (4.17,0.84) .. (6.56,1.97); \draw (382,149) -- (344.99,83.74) ; \draw [shift={(344,82)}, rotate = 60.44] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (6.56,-1.97) .. controls (4.17,-0.84) and (1.99,-0.18) .. (0,0) .. controls (1.99,0.18) and (4.17,0.84) .. (6.56,1.97); \draw (344,58) .. controls (346.93,31.67) and (316.58,31.97) .. (317.84,56.1) ; \draw [shift={(318,58)}, rotate = 263.42] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (6.56,-1.97) .. controls (4.17,-0.84) and (1.99,-0.18) .. (0,0) .. controls (1.99,0.18) and (4.17,0.84) .. (6.56,1.97); \draw (399,165) .. controls (414.6,179.63) and (409.29,188.55) .. (388.16,178.32) ; \draw [shift={(386.5,177.5)}, rotate = 27.07] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (6.56,-1.97) .. controls (4.17,-0.84) and (1.99,-0.18) .. (0,0) .. controls (1.99,0.18) and (4.17,0.84) .. (6.56,1.97); \draw (261.75,164.88) .. controls (244.69,175.11) and (250.68,188.32) .. (273.12,178.78) ; \draw [shift={(274.88,178)}, rotate = 155.26] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (6.56,-1.97) .. controls (4.17,-0.84) and (1.99,-0.18) .. (0,0) .. controls (1.99,0.18) and (4.17,0.84) .. (6.56,1.97); \draw (326,21) node [anchor=north west][inner sep=0.75pt] [align=left] {0}; \draw (367,97) node [anchor=north west][inner sep=0.75pt] [align=left] {9}; \draw (330,142) node [anchor=north west][inner sep=0.75pt] [align=left] {6}; \draw (330,169) node [anchor=north west][inner sep=0.75pt] [align=left] {5}; \draw (305,114) node [anchor=north west][inner sep=0.75pt] [align=left] {4}; \draw (285,99) node [anchor=north west][inner sep=0.75pt] [align=left] {3}; \draw (407,186) node [anchor=north west][inner sep=0.75pt] [align=left] {2}; \draw (240,185) node [anchor=north west][inner sep=0.75pt] [align=left] {1}; \draw (342,114) node [anchor=north west][inner sep=0.75pt] [align=left] {8}; \draw (326,61) node [anchor=north west][inner sep=0.75pt] [align=left] {1}; \draw (269,156) node [anchor=north west][inner sep=0.75pt] [align=left] {2}; \draw (381,157) node [anchor=north west][inner sep=0.75pt] [align=left] {3}; \end{tikzpicture}
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\begin{tikzpicture} \draw[->] (-5,0) -- (-1,0); \draw (-1,0) node[right]{$x$}; \draw (-4,1) node[above]{$y$}; \draw (-2,1) node[above]{time $0$}; \draw[->] (-4,-1) -- (-4,1); \fill[opacity=0.5,black] (-5,0.5) circle(0.3); \fill[opacity=0.8,black] (-3.5,-0.5) circle(0.2); \draw[color=red] (-4.25,-1) -- (-4.25,1); \draw[color=red] (-4.25,-1) node[below]{$x=m(0)$}; \draw[->] (1,0) -- (5,0); \draw[->] (2,-1) -- (2,1); \draw (5,0) node[right]{$x$}; \draw (2,1) node[above]{$y$}; \draw (5,1) node[above]{time $t_0>0$}; \fill[opacity=0.5,black] (2,0.5) circle(0.3); \fill[opacity=0.8,black] (4.5,-0.5) circle(0.2); \draw[color=red] (3.25,-1) -- (3.25,1); \draw[color=red] (3.25,-1) node[below]{$x=m(t_0)$}; \end{tikzpicture}
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\begin{tikzpicture}[domain=0:6] \draw[-] (-0.6,0.0) -- (-2.0, -1.6); \draw[-] (-0.6,3.2) -- (-2.0, 1.6); \draw[-] (-2.0, -1.6) -- (-2.0, 1.6); \draw[-] (-0.6,3.2) -- (-0.6,0.0); \draw[dashed] (-3.6,0.0) -- (-5.0, -1.6); \draw[-] (-3.6,3.2) -- (-5.0, 1.6); \draw[-] (-5.0, -1.6) -- (-5.0, 1.6); \draw[dashed] (-3.6,3.2) -- (-3.6,0.0); \draw[dashed] (-0.6,0.0) -- (-3.6, 0.0); \draw[-] (-0.6,3.2) -- (-3.6, 3.2); \draw[-] (-2.0, -1.6) -- (-5.0, -1.6)node[pos=0.5,below] {$ds=\upsilon dt$}; \draw[-] (-2.0,1.6) -- (-5.0,1.6); \fill (-2.5,0.7) circle (3.6pt); \draw[->, line width=0.5mm] (-2.5,0.7) -- (2.5,0.7) node[pos=0.8,below] {$\vec{F}- \nabla \mu(1)$}; \draw[->, line width=0.5mm] (-2.5,0.7) -- (0.4,1.7) node[pos=0.98,sloped,below] {$- \nabla \mu(1)$}; \draw[->, line width=0.5mm] (-2.5,0.7) -- (0.4,-0.3) node[pos=0.98,below] {$\vec{F}$}; \draw[] (-0.9,1.7) -- (0.4,2.7) node[right] {$dS$}; \draw[->] (-6.5,0.7)--(-2.7,0.5) node[above,pos=0] {$\mu(1)$}; \end{tikzpicture}
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\begin{tikzpicture}[scale=0.92] \begin{axis}[ title={Engagement vs Inference Speed}, xlabel={Relative Inference Speed (1/FLOPs)}, ylabel={Improvement Over Baseline}, ylabel style={yshift=-5pt, inner sep=-1pt}, xmin=0, xmax=1., ymin=0.1, ymax=1.4, grid=both, scatter/classes={ a={mark=*,draw=black} } ] \addplot[ scatter, only marks, scatter src=explicit symbolic, mark options={scale=1.3} ]table[meta=label] { x y label 0.1 0.82 a 0.72 1.15 a 0.35 0.25 a 1.0 0.25 a }; \addplot[smooth, thick, gray, line width=2pt] coordinates { (0 , 0.7) (0.2, 0.64) (0.4, 0.58) (0.6, 0.52) (1.0, 0.4) }; \node at (axis cs:0.2,0.85) [above] {GPT3.5 (175B)}; \node at (axis cs:0.72,1.2) [above] {Blend (13,6,6B)}; \node at (axis cs:0.35,0.25) [above] {Vicuna+ (13B)}; \node at (axis cs:0.825, 0.25) [above] {ChaiLLM (6B)}; \end{axis} \end{tikzpicture}
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\begin{tikzpicture} \draw [thick] (0,0) to[out=55,in=180] (2.5,1.3) to[out=0,in=125] (5,0); \draw [thick] (0,0) -- (2.5,0) -- (5,0); \draw [thick] (0,0) to[out=-55,in=180] (2.5,-1.3) to[out=0,in=-125] (5,0); \begin{scope}[shift={(0,0)}] \draw [thick,fill=white] (0,0) circle (0.45); \node [] at (0,0) {$V^{s'*}$}; \end{scope} \begin{scope}[shift={(5,0)}] \draw [thick,fill=white] (0,0) circle (0.45); \node [] at (0,0) {$V^{s}$}; \end{scope} \begin{scope}[shift={(2.5,1.3)}] \draw [thick,fill=white] (-0.3,-0.3) -- (0.3,-0.3) -- (0.3,0.3) -- (-0.3,0.3) -- cycle; \node [] at (0,0) {$g_1$}; \end{scope} \begin{scope}[shift={(2.5,0)}] \draw [thick,fill=white] (-0.3,-0.3) -- (0.3,-0.3) -- (0.3,0.3) -- (-0.3,0.3) -- cycle; \node [] at (0,0) {$g_2$}; \end{scope} \begin{scope}[shift={(2.5,-1.3)}] \draw [thick,fill=white] (-0.3,-0.3) -- (0.3,-0.3) -- (0.3,0.3) -- (-0.3,0.3) -- cycle; \node [] at (0,0) {$g_3$}; \end{scope} \end{tikzpicture}
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\begin{tikzpicture} \draw (0,0)--(4,2); \filldraw[black] (0,0) circle (2pt) node[anchor=north west]{\(x_1\)}; \filldraw[black] (0.6,0.3) circle (2pt) node[anchor=north west]{\(x_2\)}; \filldraw[black] (1.2,0.6) circle (2pt) node[anchor=north west]{\(x_3\)}; \filldraw[black] (1.6,0.8) circle (2pt) node[anchor=west]{\hspace{1em}\(\cdots\)}; \filldraw[black] (2.0,1.0) circle (2pt); \filldraw[black] (2.2,1.1) circle (2pt); \filldraw[black] (2.6,1.3) circle (2pt); \filldraw[black] (3.0,1.5) circle (2pt); \filldraw[black] (3.2,1.6) circle (2pt); \filldraw[black] (3.6,1.8) circle (2pt); \filldraw[black] (4,2) circle (2pt) node[anchor=north west]{\(x_{n-2}\)}; \filldraw[red] (0.5,2.5) circle (2pt) node[anchor=south east]{\(u\)}; \filldraw[red] (2.5,2.5) circle (2pt) node[anchor=south west]{\(v\)}; \draw[red] (3.5,0.5) circle (2pt); \draw[red,dashed] (0.5,2.5)--(2.5,2.5); \draw (6,0)--(10,2); \filldraw[black] (6,0) circle (2pt) node[anchor=north west]{\(x_1\)}; \filldraw[black] (6.6,0.3) circle (2pt) node[anchor=west]{\hspace{1em}\(\cdots\)}; \filldraw[black] (7.2,0.6) circle (2pt); \filldraw[black] (7.6,0.8) circle (2pt); \filldraw[black] (8.0,1.0) circle (2pt); \filldraw[black] (8.2,1.1) circle (2pt); \filldraw[black] (8.6,1.3) circle (2pt); \filldraw[black] (9.0,1.5) circle (2pt); \filldraw[black] (9.2,1.6) circle (2pt); \filldraw[black] (9.6,1.8) circle (2pt); \filldraw[black] (10,2) circle (2pt) node[anchor=north west]{\(x_{n-2}\)}; \filldraw[red] (6.5,2.5) circle (2pt) node[anchor=south east]{\(u\)}; \draw[red] (8.5,2.5) circle (2pt); \filldraw[red] (9.5,0.5) circle (2pt) node[anchor=north west]{\(v\)}; \draw[red,dashed] (6.5,2.5)--(9.5,0.5); ; \end{tikzpicture}
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math
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98
642
\begin{tikzpicture}[baseline={([yshift=-1ex]current bounding box.center)},vertex/.style={anchor=base, circle,fill=black!25,minimum size=18pt,inner sep=2pt},scale=1] \draw[cyan, thick] (0,0) -- (0,3) -- (2,4) -- (2,1) -- (0,0); \draw[cyan, thick, fill = cyan, opacity = 0.1] (0,0) -- (0,3) -- (2,4) -- (2,1) -- (0,0); \fill[yellow, opacity = 0.2] (0,0) -- (4,0) -- (4,1) -- (2,1) -- (0,0); \fill[yellow, opacity = 0.2] (2,1) -- (4,1) -- (4,3) -- (2,3) -- (2,1); \fill[yellow, opacity = 0.2] (2,3) -- (4,3) -- (6,4) -- (2,4) -- (2,3); \draw[black, thick, dashed] (0,0) -- (4,0); \draw[black, thick, dashed] (2,1) -- (6,1); \draw[black, thick, dashed] (0,3) -- (4,3); \draw[black, thick, dashed] (2,4) -- (6,4); \draw[orange, thick] (4,0) -- (4,3) -- (6,4) -- (6,1) -- (4,0); \draw[fill = orange, opacity = 0.15] (4,0) -- (4,3) -- (6,4) -- (6,1) -- (4,0); \node[below] at (5,0) {$|N_B\rangle$}; \node[below] at (0,0) {$\langle {\rm QFT}'|$}; \node[above] at (6.5,2) {glue}; \draw[orange, thick] (7,0) -- (7,3) -- (9,4) -- (9,1) -- (7,0); \draw[orange, thick, fill = orange, opacity = 0.1] (7,0) -- (7,3) -- (9,4) -- (9,1) -- (7,0); \node[below] at (7,0) {$\langle N_B|$}; \fill[yellow, opacity = 0.2] (7,0) -- (9.5,0) -- (9.5,1) -- (9,1) -- (7,0); \fill[yellow, opacity = 0.2] (9,1) -- (9.5,1) -- (9.5,3) -- (9,3) -- (9,1); \fill[yellow, opacity = 0.2] (9,3) -- (9.5,3) -- (11.5,4) -- (9,4) -- (9,3); \draw[black, thick, dashed] (7,0) -- (9.5,0); \draw[black, thick, dashed] (9,1) -- (11.5,1); \draw[black, thick, dashed] (7,3) -- (9.5,3); \draw[black, thick, dashed] (9,4) -- (11.5,4); \draw[orange, thick] (9.5,0) -- (9.5,3) -- (11.5,4) -- (11.5,1) -- (9.5,0); \draw[orange, thick, fill = orange, opacity = 0.1] (9.5,0) -- (9.5,3) -- (11.5,4) -- (11.5,1) -- (9.5,0); \draw[black, thick, stealth-] (5,2) -- (7,2); \draw[black, thick, dashed, -stealth] (7,2) -- (8,2); \node[below] at (9.5,0) {$| D_A\rangle$}; \end{tikzpicture}
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math
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\begin{tikzpicture}[scale=.33] \draw[-] (0,0) -| (1,1); \end{tikzpicture}
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math
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62
483
\begin{tikzpicture} \definecolor{crimson2143940}{RGB}{214,39,40} \definecolor{darkgray176}{RGB}{176,176,176} \definecolor{darkorange25512714}{RGB}{255,127,14} \definecolor{forestgreen4416044}{RGB}{44,160,44} \definecolor{lightgray204}{RGB}{204,204,204} \definecolor{mediumpurple148103189}{RGB}{148,103,189} \definecolor{steelblue31119180}{RGB}{31,119,180} \begin{axis}[ legend cell align={left}, legend style={ fill opacity=0.8, draw opacity=1, text opacity=1, at={(0.97,0.97)}, anchor=north east, draw=lightgray204 }, log basis x={10}, tick align=outside, tick pos=left, x grid style={darkgray176}, xlabel={$s_{\text{x}} = s_{\text{y}}$}, xmin=3, xmax=100000, xmode=log, xtick style={color=black}, y grid style={darkgray176}, ylabel={SER}, ymin=8, ymax=13, xmajorgrids, ymajorgrids, ytick style={color=black} ] \addplot [semithick, mediumpurple148103189, mark=*] table {% 3 12.04 10 12.44 100 11.02 }; \addlegendentry{$s_{\text{out}} = 100$} \addplot [semithick, steelblue31119180, mark=square*] table {% 3 12 10 12.43 30 10.9 100 8.35 1000 8.35 }; \addlegendentry{$s_{\text{out}} = 1000$} \addplot [semithick, darkorange25512714, mark=triangle*] table {% 3 11.87 10 12.4 30 10.94 }; \addlegendentry{$s_{\text{out}} = 3000$} \addplot [semithick, forestgreen4416044, mark=diamond*] table {% 100 8.43 1000 8.36 10000 8.32 100000 8.34 }; \addlegendentry{$s_{\text{out}} = 3600$} \end{axis} \end{tikzpicture}
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eess
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56
428
\begin{tikzpicture} \begin{axis}[ width=0.8\textwidth, height=0.6\textwidth, xlabel={Frequency (Hz)}, ylabel={Hearing Threshold (dB)}, title={Noise-notch Hearing Loss Audiogram}, grid=major, ymin=-100, ymax=0, % Adjust the y-axis limits as needed ] \addplot[blue, line width=1.5pt] coordinates { (250, -30) (4000, -30) (6000, -80) (8000, -30) }; \end{axis} \end{tikzpicture}
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eess
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205
821
\begin{tikzpicture}[scale=0.9] \draw[help lines,step=1] (0,0) grid (3,3); \draw[-latex] (-1,0) -- (4,0); \draw[-latex] (0,-1) -- (0,4); \draw (4,0)coordinate (A)node[below] {$i$}; \draw (0,4)coordinate (A)node[left] {$j$}; \draw (0,0)coordinate (A)node[above right] {$s_{11}$}; \draw (0,1)coordinate (B)node[above right] {$s_{21}$}; \draw (0,2)coordinate (B)node[above right] {$s_{31}$}; \draw (0,3)coordinate (B)node[above right] {$s_{41}$}; \draw (1,0)coordinate (A)node[above right] {$s_{12}$}; \draw (2,0)coordinate (A)node[above right] {$s_{13}$}; \draw (3,0)coordinate (A)node[above right] {$s_{14}$}; \draw (1,1)coordinate (B)node[above right] {$s_{22}$}; \draw (1,2)coordinate (B)node[above right] {$s_{32}$}; \draw (1,3)coordinate (B)node[above right] {$s_{42}$}; \draw (2,1)coordinate (B)node[above right] {$s_{23}$}; \draw (2,2)coordinate (B)node[above right] {$s_{33}$}; \draw (2,3)coordinate (B)node[above right] {$s_{43}$}; \draw (3,1)coordinate (B)node[above right] {$s_{24}$}; \draw (3,2)coordinate (B)node[above right] {$s_{34}$}; \draw (3,3)coordinate (B)node[above right] {$s_{44}$}; \node (1) at(6.5,1.5) {$\to \mathsf{Spin}=\begin{bmatrix} s_{11} & s_{12} & s_{13} & s_{14} & \cdots\\ s_{21} & s_{22} & s_{23} & s_{24} &\cdots\\ s_{31} & s_{32} & s_{33} & s_{34} &\cdots\\ s_{41} & s_{42} & s_{43} & s_{44} &\cdots\\ \vdots & \vdots & \vdots & \vdots &\ddots\\ \end{bmatrix}$}; \end{tikzpicture}
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physics
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422
717
\begin{tikzpicture}[scale=1.3] \begin{scope} \draw[fill=cyan!60, opacity=1] (0,0) -- (-1,0) -- (-1,1) -- (1,1) -- (1,-1) -- (0,-1) -- (0,0); \draw[fill=cyan!20,opacity=1] (0,-1)--(1,-1)--(1,0)--(0,0)--(0,-1); \draw[fill=blue!10,opacity=1] (-1,0)--(-1,1)--(0,1)--(0,0)--(-1,0); \node at (-0.5,0.5) {$U_1$}; \node at (0.5,-0.5) {$U_2$}; \node at (0.5,0.5) {$U_{1,2}$}; {\footnotesize \draw[->,gray] (-1,-1) -- (-0.7,-1) node[right] {$x$}; \draw[->,gray] (-1,-1) -- (-1,-0.7) node[above] {$y$};} \end{scope} \end{tikzpicture}
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math
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453
640
\begin{tikzpicture}[baseline={([yshift=-1ex]current bounding box.center)},vertex/.style={anchor=base, circle,fill=black!25,minimum size=18pt,inner sep=2pt},scale=1] \draw[orange, thick] (5,0) -- (5,3) -- (7,4) -- (7,1) -- (5,0); \draw[fill = brown, opacity = 0.5, thick] (5,0) -- (5,3) -- (7,4) -- (7,1) -- (5,0); \node[teal, right] at (7,4) {\scriptsize $e^{i\int_{X_d} d\varphi \wedge (h_{d-1} - db_{d-2})}$}; \draw[teal, thick] (3,2) -- (6,2); \filldraw[teal] (6,2) circle (1pt); \node[teal, above] at (3.5,2) {$W_{n_2}$}; \node[below, teal] at (6,2) {\scriptsize $x_2$}; \draw[teal, thick] (3.5,2.8) -- (6.5,2.8); \filldraw[teal] (6.5,2.8) circle (1pt); \node[teal, above] at (4,2.8) {$W_{n_3}$}; \node[below, teal] at (6.5,2.8) {\scriptsize $x_3$}; \draw[teal, thick] (2.5,1) -- (5.5,1); \filldraw[teal] (5.5,1) circle (1pt); \node[teal, above] at (3,1) {$W_{n_1}$}; \node[below, teal] at (5.5,1) {\scriptsize $x_1$}; \node[black] at (8,2) {$=$}; \draw[orange, thick] (5+7,0) -- (5+7,3) -- (7+7,4) -- (7+7,1) -- (5+7,0); \draw[fill = orange, opacity = 0.15, thick] (5+7,0) -- (5+7,3) -- (7+7,4) -- (7+7,1) -- (5+7,0); \draw[teal, thick] (3+7,2) -- (6+7,2); \filldraw[teal] (6+7,2) circle (1pt); \node[teal, above] at (3.5+7,2) {$W_{n_2}$}; \node[below, teal] at (6+7,2) {\scriptsize $x_2$}; \node[above, teal] at (6+7,2) {\scriptsize $e^{i \varphi(x_2)}$}; \draw[teal, thick] (3.5+7,2.8) -- (6.5+7,2.8); \filldraw[teal] (6.5+7,2.8) circle (1pt); \node[teal, above] at (4+7,2.8) {$W_{n_3}$}; \node[below, teal] at (6.5+7,2.8) {\scriptsize $x_3$}; \node[above, teal] at (6.5+7,2.8) {\scriptsize $e^{i \varphi(x_3)}$}; \draw[teal, thick] (2.5+7,1) -- (5.5+7,1); \filldraw[teal] (5.5+7,1) circle (1pt); \node[teal, above] at (3+7,1) {$W_{n_1}$}; \node[below, teal] at (5.5+7,1) {\scriptsize $x_1$}; \node[above, teal] at (5.5+7,1) {\scriptsize $e^{i \varphi(x_1)}$}; \end{tikzpicture}
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math
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306
638
\begin{tikzpicture}[baseline=0] \draw [blue] (0, -0.5) -- node [right] {$\gamma'$} (0, 0.5); \foreach \i in {0,1} { \draw [blue] (135-90*\i:1) -- (0,0.5); \draw [blue] (-45-90*\i:1) -- (0,-0.5); } \end{tikzpicture}
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math
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137
943
\begin{tikzpicture} \draw[line width=1,black,->] (-3,0)--(10,0); \draw[line width=1,black,->] (2,0)--(2,4); \filldraw [red] (2, 0) circle [radius = 0.05]; \filldraw [red] (-3, 0) circle [radius = 0.05]; \node[] at (10,-0.5){$R$}; \node[] at (2.7,4){$R_{orb.}$}; \node[] at (2,-0.5){$R=2$}; \node[] at (2,-1.){KT pt.}; \node[] at (-3,-0.5){$R=1$}; \node[] at (-3,-1.){$SU(2)_1$ pt.}; \end{tikzpicture}
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physics
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261
576
\begin{tikzpicture}[scale = 1.5] \node (a) at (0,1) {}; \node (b) at (0,0.5) {}; \node (c) at (0,0) {}; \node (ap) at (1,1) {}; \node (bp) at (1,0.5) {}; \node (cp) at (1,0) {}; \node at (0,1) [left] {$ p_1$}; \node at (0,0.5) [left] {$p_2$}; \node at (0,0) [left] {$p_3$}; \node at (1,1) [right] {$q_1$}; \node at (1,0.5) [right] {$q_2$}; \node at (1,0) [right] {$q_3$}; \draw[black, fill] (a) circle (.035); \draw[black, fill] (b) circle (.035); \draw[black, fill] (c) circle (.035); \draw[black, fill] (ap) circle (.035); \draw[black, fill] (bp) circle (.035); \draw[black, fill] (cp) circle (.035); \draw[orange] (a) -- (ap); \draw[orange] (a) -- (bp); \draw[orange] (a) -- (cp); \draw[white, fill] (0.5,0.5) circle (.035); \draw[orange] (b) -- (bp); \draw[orange] (b) -- (cp); \draw[orange] (c) -- (cp); \end{tikzpicture}
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math
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103
825
\begin{tikzpicture}[baseline=.9cm] \draw[very thick] (-3,0) -- (-3,2); \draw[->,>=stealth,thick] (-1.2, 0.2) -- (-2.2, 0.7); \draw[<-,>=stealth,thick] (-1.2, 1.8) -- (-2.2, 1.3); \draw[decorate, decoration={snake,amplitude=.6mm}] (-3,1) -- (-2.2, 1.3); \foreach \x in {0,...,12} \draw (-3-.2,.15*\x+.04) -- (.2-3-.2,.15*\x+.1+.04); \foreach \x in {-1,...,11} \draw (-3-.1,.15*\x+.09+.075) -- (.2-3-.2,.15*\x+.1+.04+.075); \node at (-.1, 1.9) {$\tilde{\psi}_0 +\tilde{\psi}_5 + T$}; \node at (-1.7+1,.1) {$\psi_3$}; \filldraw (-1.2, 0.2) circle (1pt); \filldraw (-2.2, 1.3) circle (1pt); \end{tikzpicture}
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physics
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9
851
\begin{tikzpicture} \tikzset{enclosed/.style={draw, circle, inner sep=0pt, minimum size=.2cm}} \node[enclosed, label={left, yshift=0cm: $u$}] (w_1) at (0.5,1.8) {}; \node[enclosed, label={left, yshift=0cm: $v$}] (w_2) at (0.5,3.2) {}; \node[enclosed, fill=black] (w_3) at (1.5,2.5) {}; \node[enclosed, fill=black] (w_4) at (3,2.5) {}; \node[enclosed, fill=black] (w_6) at (5,2.5) {}; \draw (w_1) -- (w_3); \draw (w_2) -- (w_3); \draw (w_4) -- (w_3); \draw (w_4) -- node[below] {$\underbrace{}_{n-2\ \text{vertices}}$} (w_6)[dashed]; \end{tikzpicture}
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physics
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462
378
\begin{tikzpicture}[node distance=2cm, auto] \node (prior) [align=center] {Uniform prior \\ $f(\phi)$}; \node (likelihood) [below of=prior, align=center] {Likelihood function\\ $f(t|\phi, n,a, b)$}; \node (posterior) [below of=likelihood, align=center] {Posterior distribution \\ $f(\phi|t, n, a, b)$}; \draw[->] (prior) -- (likelihood) node[midway, right] {Bayes' Rule}; \draw[->] (likelihood) -- (posterior) node[midway, right] {Normalization}; \end{tikzpicture}
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stat
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329
285
\begin{tikzpicture}[every node/.style={draw,circle,inner sep=1pt,fill=black}] \clip (-3.5,-2.5) rectangle (3.5,3.5); \foreach \s in {0,1,2} \fill[fill=green!30] (90 + 120 * \s : 2) -- + (60 + 120 * \s : 3) -- + (120 + 120 * \s : 3) -- cycle; \fill[fill=green!30] (0,2) node[label={[right]{$e_1$}}] {} -- (-1.732,-1) node[label={[above left]{$e_2$}}] {} -- (1.732,-1) node[label={[above right]{$e_3$}}] {} -- cycle; \end{tikzpicture}
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stat
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75
497
\begin{tikzpicture}[scale=.9] \draw[->] (0, 0) -- (10, 0) node[right] {\scriptsize $l$}; \draw[->] (0, 0) -- (0, 7); \node[circle,inner sep=0pt,fill=black,label=left:{\tiny $ATT(d'|d')$}] at (0,3.497*1.5) {}; \node[circle,inner sep=0pt,fill=black,label=left:{\tiny $ATT(d|d')$}] at (0,2.197*1.5) {}; \node[circle,inner sep=0pt,fill=black,label=left:{\tiny $ATT(d|d)$}] at (0,0.693*1.5) {}; \node[circle,inner sep=0pt,fill=black,label=below:{\tiny $d'=d+1$}] at (4*1.5,0) {}; \node[circle,inner sep=0pt,fill=black,label=below:{\tiny $d=1$}] at (1*1.5,0) {}; \draw[scale=1.5, domain=0:5, smooth, variable=\d, black] plot ({\d}, {ln(1+\d)}); \draw[scale=1.5, domain=0:5, smooth, variable=\d, black] plot ({\d}, {ln(1+8*\d)}); \node[circle,inner sep=0pt,fill=white,label=below right:{\tiny $ATT(l|d)$}] at (5*1.5,1.7*1.75) {}; \node[circle,inner sep=0pt,label=below right:{\tiny $ATT(l|d')$}] at (4*1.9,4.1*1.45) {}; \draw[line width=.3mm] (1*1.5,2.197*1.5) -- (4*1.5,3.497*1.5); \draw (1.5*1.5, 2.41*1.5) -- (1.5*1.5,2.7*1.5); \draw (2.18*1.5, 2.7*1.5) -- (1.5*1.5,2.7*1.5); \node[circle,inner sep=0pt,fill=white,label=above left:{\tiny $ACRT(d'|d')$}] at (1.5*1.6,2.7*1.5) {}; \draw[line width=.3mm] (1*1.5, 0.693*1.5)-- (4*1.5,3.497*1.5); \draw (3*1.5, 2.56*1.5) -- (3.5*1.5,2.56*1.5); \draw (3.5*1.5, 2.56*1.5) -- (3.5*1.5,3.027*1.5); \node[circle,draw,line width=1pt,inner sep=0pt,minimum size=6pt,label=below right:{}] at (4*1.5,3.497*1.5) {}; \node[circle,draw,line width=1pt,inner sep=0pt,minimum size=6pt,label=below right:{}] at (1*1.5,0.693*1.5) {}; \node[circle,inner sep=0pt,fill=white,label=right:{ \tiny \begin{tabular}{l c} $=ACRT(d'|d')+ ATT(d|d') -ATT(d|d)$ \end{tabular}}] at (1.5*3.3,2.66*1.5) {}; \draw[densely dotted] (4*1.5,0) -- (4*1.5,3.497*1.5); \draw[densely dotted] (0,1.5*3.497) -- (4*1.5,3.497*1.5); \draw[densely dotted] (1*1.5,0) -- (1*1.5,0.693*1.5); \draw[densely dotted] (0,0.693*1.5) -- (1*1.5,0.693*1.5); \draw[densely dotted] (1*1.5, 0.693*1.5)-- (1*1.5,2.197*1.5); \draw[densely dotted] (0, 2.197*1.5)-- (1*1.5,2.197*1.5); \end{tikzpicture}
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econ
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267
953
\begin{tikzpicture}[baseline=0] \tikzset{>=latex} \draw [help lines,line width=2pt,-] (-3,-3) -- (3,3); \draw [help lines,line width=2pt,-] (-3,3) -- (3,-3); \draw [->,line width=3pt,red] (0,0)--(1,1) node[right,scale=2,red] {$p_4$}; \draw [->,line width=3pt,red] (0,0)--(-1,1) node[left,scale=2,red] {$p_3$}; \draw [->,line width=3pt,blue] (0,0)--(-2,-2) node[xshift=-0.5cm,yshift=0.6cm,scale=2,blue] {$-p_1$}; \draw [->,line width=3pt,blue] (0,0)--(2,-2) node[xshift=0.4cm,yshift=0.6cm,scale=2,blue] {$-p_2$}; \draw [->,line width=5pt,black] (0,0)--(0,-2) node[yshift=-.4cm,scale=2,black] {$Q$}; \end{tikzpicture}
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physics
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356
801
\begin{tikzpicture} \begin{scope}[scale=1.6,yshift=0cm] \foreach \x in {-3,...,3}{ \fill[blue] (\x,0) circle [radius=3pt]; \fill[red] (\x,0.7) circle [radius=3pt]; \draw[<->,brown,very thick] (\x+0.92,0.09)--(\x+0.09,0.64); } \draw[<->,brown,very thick] (-4+0.92,0.09)--(-4+0.09,0.64); \node at (-4.5,0.35) {$\ldots$}; \node at (4.5,0.35) {$\ldots$}; \end{scope} \end{tikzpicture}
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physics
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88
55
\begin{tikzpicture}[ scale=0.95, arr/.style={->,thick}, varr/.style={->,ultra thick}, dot/.style={radius=0.7mm}, node distance=50mm ] \draw[arr] (0,0,0) -- (0,0,5); \draw[arr] (0,0,0) -- (5,0,0); \draw[arr] (0,0,0) -- (0,5,0); \node[below right] at (0,0,4) {$b_1$}; \node[above] at (4,0,0) {$b_2$}; \node[left] at (0,4,0) {$b_3$}; \draw[fill] (0,0,0) circle[dot]; \node[above left] at (0,0,0) {$r^1 = o$}; \draw[fill] (0,0,3) circle[dot]; \node[above left] at (0,0,3) {$r^2$}; \draw[varr] (0,0,0) -- (0,0,3); \node[below right] at (0,0,1.5) {$v_1$}; \draw[fill] (3,0,2) circle[dot]; \node[below right] at (3,0,2) {$r^3$}; \draw[varr] (0,0,0) -- (3,0,2); \node[below left] at (1.5,0,1) {$v_2$}; \draw[varr] (0,0,0) -- (3,0,0); \node[above] at (1.5,0,0) {$v_{2,\bot}$}; \draw[dotted] (3,0,0) -- (3,0,2); \draw[fill] (4.5,5,3.5) circle[dot]; \node[above right] at (4.5,5,3.5) {$x^i$}; \draw[dashed] (4.5,5,3.5) -- (4.5,0,3.5); \draw[dashed] (4.5,0,3.5) -- (0,0,3.5); \draw[dashed] (4.5,0,3.5) -- (4.5,0,0); \node[below] at (2.25,0,3.5) {$\left(x^i\right)_1$}; \node[below right] at (4.5,0,1.75) {$\left(x^i\right)_2$}; \node[below right] at (4.5,3.5,3.5) {$\left(x^i\right)_3$}; \end{tikzpicture}%
plot
cs
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403
240
\begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.16] node[white] {{\fontfamily{qag}\selectfont \tiny $\dot{\mathsf I}$D}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture}
plot
cs
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164
683
\begin{tikzpicture} \begin{axis}[ xlabel=dimension $d$ (in terms of $n$), x label style={at={(axis description cs:0.5,-0.06)},anchor=north,anchor=north, below=5mm}, ylabel=Frobenius error $\alpha$, y label style={at={(axis description cs:-0.2,0.5)},anchor=north,anchor=north, below=5mm}, xmin=0, xmax=120, ymin=0, ymax=54, xticklabels={$1^{\textcolor{white}{1}}$, $n^{1/2}$, $n^{2/3}$, $n^{\textcolor{white}{1}}$, $n^{4/3}$, $n^2$}, yticklabels={$n^{-1}$, $n^{-1/2}$, $n^{-1/3}$, $1$}, xtick={0,30,40,60,80,120}, ytick={0,27,36,54}, legend style={at={(0.61,0.2)},anchor=west}, axis equal image ] \addplot[mark=*,blue,densely dashed,very thick] plot coordinates { (0,0) (40,36) (120,54) }; \addlegendentry{Prev. Upper Bound} \addplot[mark=*,orange,dashed,very thick] plot coordinates { (0,0) (30,27) (60,27) (120,54) }; \addlegendentry{Prev. Lower Bound} \addplot[mark=*,red,very thick] plot coordinates { (30,27) (40,36) (80,36) }; \addlegendentry{Our Lower Bound} \end{axis} \end{tikzpicture}
plot
math
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4
41
\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1] \draw [fill={rgb, 255:red, 238; green, 228; blue, 137 } ,fill opacity=1 ] (28.14,40) -- (43.83,40) -- (43.83,87.35) -- (28.14,87.35) -- cycle ; \draw [fill={rgb, 255:red, 241; green, 191; blue, 115 } ,fill opacity=1 ] (67.38,52.63) .. controls (67.38,45.65) and (73.03,40) .. (80,40) -- (141.07,40) .. controls (148.04,40) and (153.7,45.65) .. (153.7,52.63) -- (153.7,90.51) .. controls (153.7,97.48) and (148.04,103.13) .. (141.07,103.13) -- (80,103.13) .. controls (73.03,103.13) and (67.38,97.48) .. (67.38,90.51) -- cycle ; \draw (43.83,63.67) -- (65.38,63.67) ; \draw [shift={(67.38,63.67)}, rotate = 180] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw (47.76,99.19) -- (65.97,80.88) ; \draw [shift={(67.38,79.46)}, rotate = 134.84] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw (208.63,71.57) node {\includegraphics[width=47.08pt,height=47.35pt]{2791_sec_Images_ButterImg.jpg}}; \draw (153.7,64.07) -- (175.63,64.07) ; \draw [shift={(177.63,64.07)}, rotate = 180] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw (177.24,79.46) -- (156.09,80.18) ; \draw [shift={(154.09,80.25)}, rotate = 358.05] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw (338.11,71.57) node {\includegraphics[width=47.08pt,height=47.35pt]{2791_sec_Images_ButterImg.jpg}}; \draw [dash pattern={on 7.5pt off 2.25pt}] (306.72,71.57) -- (242.02,71.57) ; \draw [shift={(240.02,71.57)}, rotate = 360] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw [dash pattern={on 7.5pt off 3.75pt}] (339,40) -- (339,16) -- (37,15) -- (37,37) ; \draw [shift={(37,39)}, rotate = 270] [color={rgb, 255:red, 0; green, 0; blue, 0 } ][line width=0.75] (10.93,-3.29) .. controls (6.95,-1.4) and (3.31,-0.3) .. (0,0) .. controls (3.31,0.3) and (6.95,1.4) .. (10.93,3.29) ; \draw (27,93) node [anchor=north west][inner sep=0.75pt] [align=left] {$c_s$}; \draw (247,60) node [anchor=north west][inner sep=0.75pt] [align=left] {\begin{minipage}[lt]{38.76pt}\setlength\topsep{0pt} \begin{center} {\tiny Reconstruction }\\{\tiny Loss} \end{center} \end{minipage}}; \draw (72.32,49) node [anchor=north west][inner sep=0.75pt] [align=left] {\begin{minipage}[lt]{54.4pt}\setlength\topsep{0pt} \begin{center} {\scriptsize Pre-trained }\\{\scriptsize Stable Diffusion}\\{\scriptsize Model} \end{center} \end{minipage}}; \draw (32,75) node [anchor=north west][inner sep=0.75pt] [rotate=-270] [align=left] {{\tiny Noise}}; \end{tikzpicture}
plot
cs
assets/cs/2791_sec_Images_ButterImg.jpg
assets/cs/2791_sec_Images_ButterImg.jpg
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259
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\begin{tikzpicture} \begin{axis}[ xlabel=dimension $d$ (in terms of $n$), x label style={at={(axis description cs:0.5,-0.06)},anchor=north,anchor=north, below=5mm}, ylabel=Frobenius error $\alpha$, y label style={at={(axis description cs:-0.2,0.5)},anchor=north,anchor=north, below=5mm}, xmin=0, xmax=120, ymin=0, ymax=54, xticklabels={$1^{\textcolor{white}{1}}$, $n^{1/2}$, $n^{2/3}$, $n^{\textcolor{white}{1}}$, $n^{4/3}$, $n^2$}, yticklabels={$n^{-1}$, $n^{-1/2}$, $n^{-1/3}$, $1$}, xtick={0,30,40,60,80,120}, ytick={0,27,36,54}, legend style={at={(0.61,0.2)},anchor=west}, axis equal image ] \addplot[mark=*,blue,densely dashed,very thick] plot coordinates { (0,0) (40,36) (120,54) }; \addlegendentry{Prev. Upper Bound} \addplot[mark=*,orange,dashed,very thick] plot coordinates { (0,0) (30,27) (60,27) (120,54) }; \addlegendentry{Prev. Lower Bound} \addplot[mark=*,red,very thick] plot coordinates { (30,27) (40,36) (80,36) }; \addlegendentry{Our Lower Bound} \end{axis} \end{tikzpicture}
plot
stat
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353
777
\begin{tikzpicture}[scale = 0.9, baseline = -2,every node/.style={scale=1}] \def\s{0.5}; \foreach \x in {-5,...,3,6,7,11,12} { \draw[fill=black] (\x*\s,0) circle (0.025); } \foreach \count/\valone/\valtwo/\valthree/\valfour/\valfive in {0/\overline{1}/\overline{1}/2/1/\overline{1},1/\overline{3}/\overline{2}/\overline{3}/1/\overline{2}}{ \node (a) at (4*\s,0 + \count*\s) {$\valone$}; \node (b) at (5*\s,0 + \count*\s) {$\valtwo$}; \node (c) at (8*\s,0 + \count*\s) {$\valthree$}; \node (d) at (9*\s,0 + \count*\s) {$\valfour$}; \node (d) at (10*\s,0 + \count*\s) {$\valfive$}; } \end{tikzpicture}
plot
physics
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287
499
\begin{tikzpicture} \draw (-6,0) -- (9,0); \filldraw (-4,0) circle (1pt) node[below] {$U_t(m_1\mid z_{st})$}; \filldraw (-4.2,-0.5) node[below] {$=L_t(m_K\mid z_{st})$}; \filldraw (-1,0) circle (1pt); \filldraw (1.0,0) circle (1pt) node[below] {$U_t(m_{K-1}\mid z_{st})$}; \draw[red, thick, -latex] (4.0,0) -- (4.0,0.6); \node[above] at (4.0,0.5) {$\tilde{L}(m_K \mid z_{st})$}; \filldraw (6,0) circle (1pt) node[below] {$U_t(m_K\mid z_{st})$}; \end{tikzpicture}
plot
econ
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122
741
\begin{tikzpicture} \draw (0,0)--(0,3)--(2,3)--(2,0)--(0,0); \draw (0,4)--(2,4)--(3,1); \draw [line width=3,color=blue] (0,4)--(2,4)--(2.5,2.5)--(3,3); \draw (2,3)--(3,4); \draw (2,2)--(3,3); \draw (2,1)--(3,2); \draw (3.7,4) node {$1$}; \draw (3.7,3.5) node {$\vdots$}; \draw (3.7,3) node {\small $d$\normalsize}; \draw (3.7,2) node {$\vdots$}; \draw (3.7,1) node {\small$\lambda_{n-k}^t+1$\normalsize}; \draw[<->,dashed] (-0.2,-0.2)--(3.2,-0.2); \draw (1.5,-0.5) node {$w^*$}; \draw [line width=3,color=blue] (4.5,3)--(6,0); \draw (6.2,0) node {$n$}; \draw[<->,dashed] (3.9,-0.2)--(6.2,-0.2); \draw (4.7,-0.5) node {$u^{-1}w_0$}; \draw[<->,dashed] (6.5,-0.2)--(9.2,-0.2); \draw (7.5,-0.5) node {$\Delta_n$}; \draw [line width=3,color=blue] (6.5,0)--(9,4); \draw (1,1.5) node {$\widetilde{w}$}; \draw (-0.2,-0.2)--(-0.2,-0.8); \draw (-0.2,-1) node {$x=0$}; \draw (3.7,-0.2)--(3.7,-0.8); \draw (3.7,-1) node {$x=1$}; \draw (6.2,-0.2)--(6.2,-0.8); \draw (6.2,-1) node {$x=2$}; \end{tikzpicture}
plot
math
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41
27
\begin{tikzpicture}[scale=1.5, every node/.style={scale=.7}] \draw[->] (0,0) -- (4.5,0) node[below right] {$x$}; \draw[->] (0,0) -- (0,6) node[above left] {$y$}; \draw[domain=0.25:4,smooth,variable=\x,blue] plot ({\x},{1/\x}) ; \draw[dashed] (0,2+.5*4)-- (.5,2) --(2/4+.5,0); \draw[dotted] (0,.5)node[left]{DAI} -- (2,.5) -- (2,0) node[below]{ETH}; \draw(2-.08,0) arc[start angle=0, end angle=-40, radius=-.5]; \node at (2-.4,.2) {$-p(x)$}; \draw(.8,{(2+.5*4)/(2/4+.5)*(2.13-.8)})--(2.13,0); \draw[blue, ->](3,.4)--(3.3,1.3); \draw[blue, ->](1.1,1.1)--(2,2); \draw[blue, ->](.5,3)--(1.2,3.2); \draw[domain=.8:4,smooth,variable=\x,blue] plot ({\x},{4.55/\x}) ; \end{tikzpicture}
plot
cs
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370
727
\begin{tikzpicture} \draw[gray, thick] (-12,-2) -- (-8,-2); \draw[gray, thick] (-15,-1) -- (-10,-1); \filldraw[black] (-15,-1) circle (2pt) node[anchor=south] {$i_{1}$}; \filldraw[black] (-10,-1) circle (2pt) node[anchor=south] {$j_{1}$}; \filldraw[black] (-12,-2) circle (2pt) node[anchor=south] {$i_{2}$}; \filldraw[black] (-8,-2) circle (2pt) node[anchor=south] {$j_{2}$}; \filldraw[black] (-11,-2) circle (2pt) node[anchor=south] {$i_{2}+1$}; \end{tikzpicture}
plot
math
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333
517
\begin{tikzpicture}[font = \footnotesize, scale =0.75] \fill [cyan, opacity=0.2] (0,0)--(3,0)--(3,3)--(0,3)--(0,0); \draw[->] (0,0)--(3,0) node[below] {$\mathcal{Q}_4=(m_- n_-,0) \, , \mathcal{Q}_2=(m_+ n_-,0)$}; \draw[->] (0,0)--(0,3) node[above ] {$\,\,\,\qquad \mathcal{Q}_3=(0,n_-)$}; \draw[->] (0,0)--(-3,3) node[above ] {$\mathcal{Q}_1=(-t,n_+)$}; \draw[->] (0,0)--(1.5,1.5) node[above] {$(t_1,t_2)$}; \end{tikzpicture}
plot
math
null
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344
949
\begin{tikzpicture}[scale=.6] \draw [ultra thick, red] (0,0)--(1.5, 0) -- (1.5,2.5) -- (2.5,2.5) --(2.5,1.5) -- (3.5, 1.5)--(3.5, 4.5)-- (6.5, 4.5)--(6.5, 2.5)--(7.5,2.5)--(7.5, 3.5) -- (8.5, 3.5) --(8.5, 1.5)--(9.5, 1.5)--(9.5, 2.5)--(10.5, 2.5)-- (11.5, 2.5)--(11.5, 0.5)--(12, 0.5); \foreach \i in {0,...,8}{ \foreach \j in {0,...,12}{ \node[draw,circle,inner sep=1pt,fill] at (\j,\i) {}; } \fill[white] (4.5,0.5)--(4.5,2.5)--(6.5,2.5)--(6.5,0.5)--(4.5,0.5); \node at (5.5, 1.5) {$+$}; \fill[white] (8.5,5.5)--(8.5,7.5)--(10.5,7.5)--(10.5,5.5)--(8.5,5.5); \node at (9.5, 6.5) {$-$}; } \end{tikzpicture}
plot
physics
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401
394
\begin{tikzpicture} \draw[->] (-3, 0) -- (3, 0); \draw[->] (0, -3) -- (0, 3); \fill[draw,gray, opacity=.5] (1, -.3) -- (1, .3) -- (2.5, .6) -- (2.5, -.6) -- cycle; \fill[draw,gray, opacity=.5] (-1, -.3) -- (-1, .3) -- (-2.5, .6) -- (-2.5, -.6) -- cycle; \fill[draw,gray!20!black, opacity=.5] (1, .3) -- (1, .9) -- (2.5, 1.8) -- (2.5, .6) -- cycle; \fill[draw,gray!20!black, opacity=.5] (-1, -.3) -- (-1, -.9) -- (-2.5, -1.8) -- (-2.5, -.6) -- cycle; \end{tikzpicture}
plot
eess
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252
138
\begin{tikzpicture}[scale=4.6] \draw[line width = 0.3mm, color = black] (0,0) -- (1,0) -- (1,1) -- (0,1) -- cycle; \foreach \i in {0,...,2}{ \draw[line width=0.15mm,color=gray!50] (1/4,\i/16) -- (5/8,\i/16); \draw[line width=0.15mm,color=gray!50] (1/4+\i/16,0) -- (1/4+\i/16,1/8); \draw[line width=0.15mm,color=gray!50] (3/8+\i/16,0) -- (3/8+\i/16,1/8); \draw[line width=0.15mm,color=gray!50] (1/2+\i/16,0) -- (1/2+\i/16,1/8); } \foreach \i in {0,...,6}{ \draw[line width=0.15mm,color=gray!50] (11/16,\i/32+11/16) -- (14/16,\i/32+11/16); \draw[line width=0.15mm,color=gray!50] (\i/32+11/16,11/16) -- (\i/32+11/16,14/16); } \foreach \i in {0,...,12}{ \draw[line width=0.15mm,color=gray!50] (0,\i/32+20/32) -- (3/8,\i/32+20/32); \draw[line width=0.15mm,color=gray!50] (\i/32,5/8) -- (\i/32,1); } \foreach \i in {0,...,8}{ \draw[line width=0.3mm] (0,\i/8) -- (1,\i/8); \draw[line width=0.3mm] (\i/8,0) -- (\i/8,1); } \foreach \i in {0,...,6}{ \draw[line width=0.3mm] (0,\i/16) -- (3/8,\i/16); \draw[line width=0.3mm] (\i/16,0) -- (\i/16,3/8); } \foreach \i in {8,...,16}{ \draw[line width=0.3mm] (1/2,\i/16) -- (1,\i/16); \draw[line width=0.3mm] (\i/16,1/2) -- (\i/16,1); } \foreach \i in {0,...,2}{ \draw[line width=0.3mm] (0,\i/16+14/16) -- (1/8,\i/16+14/16); \draw[line width=0.3mm] (0,\i/16+12/16) -- (1/8,\i/16+12/16); \draw[line width=0.3mm] (\i/16,3/4) -- (\i/16,1); } \foreach \i in {0,...,2}{ \draw[line width=0.3mm] (0,\i/16+6/16) -- (1/8,\i/16+6/16); \draw[line width=0.3mm] (\i/16,3/8) -- (\i/16,4/8); } \foreach \i in {0,...,2}{ \draw[line width=0.3mm] (0,\i/32) -- (1/16,\i/32); \draw[line width=0.3mm] (0,\i/32+2/32) -- (1/16,\i/32+2/32); \draw[line width=0.3mm] (\i/32,0) -- (\i/32,2/16); } \foreach \i in {26,...,32}{ \draw[line width=0.3mm] (13/16,\i/32) -- (1,\i/32); \draw[line width=0.3mm] (\i/32,13/16) -- (\i/32,1); } \foreach \i in {0,...,2}{ \draw[line width=0.3mm] (0,\i/32+30/32) -- (1/16,\i/32+30/32); \draw[line width=0.3mm] (\i/32,15/16) -- (\i/32,1); } \foreach \i in {62,...,64}{ \draw[line width=0.3mm] (62/64,\i/64) -- (1,\i/64); \draw[line width=0.3mm] (\i/64,62/64) -- (\i/64,1); } \draw[line width=1.0mm,color = blue] (5/8,0) -- (5/8,1/8) -- (2/8,1/8) -- (2/8,0) -- cycle; \draw[line width=1.0mm,color = blue] (5/8+1/16,5/8+1/16) -- (14/16,5/8+1/16) -- (14/16,14/16) -- (5/8+1/16,14/16) -- cycle; \draw[line width=1.0mm,color = blue] (0,5/8) -- (3/8,5/8) -- (3/8,1) -- (0,1) -- cycle; \end{tikzpicture}
plot
cs
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311
901
\begin{tikzpicture}[scale=0.5] \node[label=right:{$o$},draw, circle] at (0,4) {}; \foreach \i in {1,...,4} \foreach \j in {1,...,7}{ \node[draw, circle] at (0,\j) {}; } \foreach \i in {1,...,1} \foreach \j in {1,...,6}{ \draw (0,\j) edge (0, \j+1); } \end{tikzpicture}
plot
physics
null
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null
null
null
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null
null
439
699
\begin{tikzpicture}[scale=1.0] \node (Ep) at (+4.63,-0.55) {$E^*$}; \node (E) at (+3.37,-0.55) {$E$}; \node (EpS) at (-1.7,0) {$E + S$}; \node (ES) at (0,0) {$ES$}; \node (EpP) at (1.7,0) {$E + P$}; \node (EppS) at (0,-1.1) {$E^* + S$}; \draw[arrows={-stealth},transform canvas={yshift=2pt}, shorten <=0.2em, shorten >=0.2em] (EpS) to node[above] {$k_1$} (ES); \draw[arrows={-stealth},transform canvas={yshift=-2pt}, shorten <=0.2em, shorten >=0.2em] (ES) to node[below] {$k_2$} (EpS); \draw[arrows={-stealth},transform canvas={yshift=2pt}, shorten <=0.2em, shorten >=0.2em] (ES) to node[above] {$k_3$} (EpP); \draw[arrows={-stealth},transform canvas={yshift=-2pt}, shorten <=0.2em, shorten >=0.2em] (EpP) to node[below] {$k_4$} (ES); \draw[arrows={-stealth},transform canvas={yshift=2pt}, shorten <=0.2em, shorten >=0.2em] (E) to node[above] {$k_5$} (Ep); \draw[arrows={-stealth},transform canvas={yshift=-2pt}, shorten <=0.2em, shorten >=0.2em] (Ep) to node[below] {$k_6$} (E); \draw[arrows={-stealth},transform canvas={yshift=2pt}, shorten <=0.2em, shorten >=0.2em] (ES) to node[right] {$k_5$} (EppS); \end{tikzpicture}
plot
math
null
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\begin{tikzpicture} \draw[green!50!black, ultra thick] (-4,0) -- node[above=2pt]{\begin{large}$A_-$\end{large}} (-2,0); \draw[green!50!black, ultra thick] (-2,0) -- node[above=2pt]{\begin{large}$A_+$\end{large}} (2,0); \draw[green!50!black, ultra thick] (2,0) -- node[above=2pt]{\begin{large}$A_-$\end{large}} (4,0); \filldraw [red] (-4,0) circle (2pt) node[anchor=north]{$-\infty$}; \filldraw [red] (4,0) circle (2pt) node[anchor=north]{$+\infty$}; \filldraw [blue] (-2,0) circle (2pt) node[anchor=north]{$0$}; \filldraw [blue] (2,0) circle (2pt) node[anchor=north]{$1$}; \filldraw [black] (0,0) circle (2pt) node[anchor=north]{$\frac{1}{2}$}; \end{tikzpicture}
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\begin{tikzpicture} \draw[-] (-5,0) -- (5,0); \foreach \i in {1,4,6,10,11} {\draw[-] (-6+\i,0)--(-6+\i,0.2);} \node at (-5,-0.3) {$x_0$}; \node at (-2,-0.3) {$x_{i_1}$}; \node at (0,-0.3) {$x_{i_2}$}; \node at (4,-0.3) {$x_{i_3}$}; \node at (5,-0.23) {$x_I(x_{i_4})$}; \fill[fill=black,opacity=0.2](-2,0) rectangle (0,0.7); \fill[fill=black,opacity=0.2](4,0) rectangle (5,0.7); \end{tikzpicture}
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\begin{tikzpicture}[scale=0.8] \def\r{0.4}; \node [above] at (0, 0) {$G$}; \draw (0, 0) -- (-1.5, -0.5); \draw (0, 0) -- (1.5, -0.5); \draw (-1.5, -0.5) -- (-2.5, -1.5); \draw (-1.5, -0.5) -- (-1.5, -1.5); \draw (-1.5, -0.5) -- (-0.5, -1.5); \draw (-2.5, -1.5-\r) circle (\r) node {$1$}; \draw (-1.5, -1.5-\r) circle (\r) node {$1$}; \draw (-0.5, -1.5-\r) circle (\r) node {$1$}; \draw (1.5, -0.5) -- (1, -1.5); \draw (1.5, -0.5) -- (2, -1.5); \draw (1, -1.5-\r) circle (\r) node {$0$}; \draw (2, -1.5-\r) circle (\r) node {$0$}; \draw (6, -1.1) -- (6.6, -1.1) -- (6.6, -1.25) -- (7, -1) -- (6.6, -0.75) -- (6.6, -0.9) -- (6, -0.9) -- cycle; \def\x{10}; \node [above] at (\x, 0) {$G$}; \draw (0+\x, 0) -- (-1+\x, -0.5); \draw (0+\x, 0) -- (1+\x, -0.5); \draw (-1+\x, -0.5-\r) circle (\r) node {$1$}; \draw (1+\x, -0.5-\r) circle (\r) node {$0$}; \def\y{-4}; \node [above] at (0, 0+\y) {$G$}; \draw (0, 0+\y) -- (-1, -1+\y); \draw (0, 0+\y) -- (1, -1+\y); \draw (-1, -1+\y-\r) circle (\r) node {$0$}; \draw (1, -1+\y) -- (0, -2+\y); \draw (1, -1+\y) -- (1, -2+\y); \draw (1, -1+\y) -- (2.5, -2+\y); \draw (0, -2+\y-\r) circle (\r) node {$1$}; \draw (1, -2+\y-\r) circle (\r) node {$1$}; \draw (2.5, -2+\y) -- (1.5, -3+\y); \draw (2.5, -2+\y) -- (3.5, -3+\y); \draw (1.5, -3+\y-\r) circle (\r) node {$1$}; \draw (3.5, -3+\y) -- (2.5, -4+\y); \draw (3.5, -3+\y) -- (3.5, -4+\y); \draw (3.5, -3+\y) -- (4.5, -4+\y); \draw (3.5, -4+\y-\r) circle (\r) node {$1$}; \draw (4.5, -4+\y-\r) circle (\r) node {$1$}; \draw (2.5, -4+\y) -- (2, -5+\y); \draw (2.5, -4+\y) -- (2.5, -5+\y) node [below] {$\vdots$}; \draw (2.5, -4+\y) -- (3, -5+\y); \draw (6, -1.1+\y) -- (6.6, -1.1+\y) -- (6.6, -1.25+\y) -- (7, -1+\y) -- (6.6, -0.75+\y) -- (6.6, -0.9+\y) -- (6, -0.9+\y) -- cycle; \node [above] at (\x, \y) {$G$}; \draw (0+\x, 0+\y) -- (-1+\x, -0.5+\y); \draw (0+\x, 0+\y) -- (1+\x, -0.5+\y); \draw (-1+\x, -0.5+\y-\r) circle (\r) node {$0$}; \draw (1+\x, -0.5+\y-\r) circle (\r) node {$1$}; \end{tikzpicture}
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\begin{tikzpicture} \begin{axis}[ width=0.7\linewidth, height=0.5\linewidth, ybar, bar width=7pt, enlarge x limits=0.15, legend style={at={(0.5,-0.3)}, anchor=north, legend columns=-1}, % Adjusted y-coordinate ylabel={Score}, symbolic x coords={Factuality, Completeness, Hallucinations}, xtick=data, nodes near coords align={vertical}, x tick label style={rotate=45, anchor=east, font=\small}, y tick label style={font=\small}, ] \addplot[fill=violet] coordinates {(Factuality,97.5) (Completeness,95) (Hallucinations,0)}; \addplot[fill=teal] coordinates {(Factuality,95) (Completeness,92.5) (Hallucinations,7.5)}; \addplot coordinates {(Factuality,90) (Completeness,90) (Hallucinations,5)}; \addplot coordinates {(Factuality,75) (Completeness,82.5) (Hallucinations,10.5)}; \addplot[fill=pink] coordinates {(Factuality,55) (Completeness,39.5) (Hallucinations,65)}; \addplot[fill=cyan] coordinates {(Factuality,27.5) (Completeness,27.5) (Hallucinations,65.6)}; \legend{GPT-4, StableBeluga2, GPT-3.5, Llama2, Guanaco-65B, Guanaco-33B} \end{axis} \end{tikzpicture}
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\begin{tikzpicture} \draw (0,0) grid (5,1); \foreach \x in {0,...,4} \draw (\x,0)--++(1,1); \foreach \x in {1,...,5} \draw[dotted] (\x,0)--++(-1,1); \draw (0,0) node [below]{$N$}; \foreach \x in {0,...,4} \draw (\x+1,0) node [below] {$\x$}; \foreach \x in {0,...,5} \draw (\x,1) node [above] {$\x$}; \end{tikzpicture}
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\begin{tikzpicture} [->,shorten >=1pt,scale=.75,inner sep=1pt, minimum size=12pt, auto=center, node distance=3cm, thick, node/.style={circle, draw=black, thick},] \tikzstyle{block1} = [rectangle, draw, fill=red!10, text width=8em, text centered, rounded corners, minimum height=0.8cm, minimum width=1cm]; \node (rect) at (0,0) (A) [draw, rounded corners, minimum width= 1.5cm, minimum height=1cm] {Worker}; \node (rect) at (6,0) (S) [draw, rounded corners, minimum width= 1.5cm, minimum height=1cm] {Server}; \coordinate (a1) at (1, 0.4); \coordinate (s1) at (5,0.4); \draw[->,thick] (s1) -- node[pos=.5,above]{Iterate $x_t$} (a1); \coordinate (a2) at (1,-0.4); \coordinate (s2) at (5,-0.4); \draw[->,thick] (a2) -- node[pos=.5,below] {$\bar{B}$-bit symbol $\sigma_t$} node[pos=.5,above] {Channel} (s2); \node at (0,-1.6) {Encode $\nabla f(x_t)$}; \node at (8, -1.6) {Perform update: $x_{t+1}=x_{t}-\alpha g_t$}; \end{tikzpicture}
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\begin{tikzpicture}[scale=0.90] \definecolor{darkgray176}{RGB}{176,176,176} \definecolor{darkorange25512714}{RGB}{255,127,14} \definecolor{forestgreen4416044}{RGB}{44,160,44} \definecolor{steelblue31119180}{RGB}{31,119,180} \definecolor{red}{RGB}{255,0,60} \definecolor{blue}{RGB}{0,0,255} \definecolor{lightgray204}{RGB}{255,255,255} \begin{axis}[ legend cell align={left}, legend style={ fill opacity=0.8, draw opacity=1, text opacity=1, at={(0.0,0.7)}, anchor=south west, draw=lightgray204 }, tick align=outside, tick pos=left, ylabel = {Time(ms)}, x grid style={darkgray176}, xmajorgrids, xmin=42.5, xmax=207.5, xtick style={color=black}, y grid style={darkgray176}, xlabel = {Number of subnetworks}, ymajorgrids, ymin=1.34199541807175, ymax=43.8010907769203, ytick style={color=black} ] \addplot [dashed, red, mark=o, mark size=3, mark options={solid}] table {% 50 3.60772442817688 60 4.00972652435303 70 4.32450103759766 80 4.34334278106689 90 4.72414207458496 100 5.00572490692139 110 5.31423425674438 120 5.65466403961182 130 5.91401290893555 140 6.02741861343384 150 6.31173086166382 160 6.58063745498657 170 6.9404935836792 180 7.24755191802979 190 7.54800128936768 200 7.85946798324585 }; \addlegendentry{GGNN} \addplot [dashed, teal, mark=triangle, mark size=3, mark options={solid}] table {% 50 3.27195429801941 60 4.36027574539185 70 4.93752956390381 80 5.5459098815918 90 6.5501708984375 100 7.63566970825195 110 8.77511024475098 120 9.74986553192139 130 10.8464908599854 140 11.9308700561523 150 13.2322483062744 160 14.4715852737427 170 16.3326377868652 180 17.7110958099365 190 19.4075908660889 200 21.0409393310547 };\addlegendentry{CGC} \addplot [dashed, blue, mark=+, mark size=3, mark options={solid}] table {% 50 9.76164817810059 60 11.6957693099976 70 13.9707870483398 80 15.6113710403442 90 17.4726963043213 100 19.5271015167236 110 21.3734550476074 120 23.5450477600098 130 25.7252159118652 140 27.6036434173584 150 29.5222969055176 160 31.8150978088379 170 34.9156913757324 180 37.2278022766113 190 40.1598892211914 200 41.8711318969727 };\addlegendentry{SISA} \end{axis} \end{tikzpicture}
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\scalebox{0.7}{\begin{tikzpicture} \node[circle, name=a] at (0,0) {$A$}; \node[circle, name=az] at (2,2) {$A_Z$}; \node[circle, name=am] at (2,0) {$A_M$}; \node[circle, name=ay] at (2,-2) {$A_Y$}; \node[circle, name=lz] at (4,2) {$L_Z$}; \node[circle, name=lm] at (4,0) {$L_M$}; \node[circle, name=ly] at (4,-2) {$L_Y$}; \node[circle, name=z] at (6,2) {$Z$}; \node[circle, name=m] at (6,0) {$M$}; \node[circle, name=y] at (10,0) {$Y$}; \draw[->](az) to (lz); \draw[->](am) to (lm); \draw[->](ay) to (ly); \draw[->](lz) to (z); \draw[->](lm) to (m); \draw[->](ly) to (y); \draw[->](z) to (m); \draw[->](z) to (y); \draw[->](m) to (y); \draw[->](a) to (lz); \draw[->](a) to[out=20,in=150] (lm); \draw[->](a) to (ly); \end{tikzpicture}}
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\begin{tikzpicture} \filldraw[fill=red,draw=green] circle (3pt); \end{tikzpicture}
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\centerline{\begin{tikzpicture}[scale=0.8] \draw[->][dashed][thick](-8,0)--(8,0); \draw[fill] (8.5,0) node{$Rez$}; \draw[fill] [blue](-3,0) circle [radius=0.05]; \draw[fill][blue] (-3,-0.3) node{$z_{2}$}; \draw[->][thick](-6,1.5)--(-4,0.5); \draw[-][thick](-4,0.5)--(-3,0); \draw[fill] (-4.5,0.3) node{$\Omega_{21}$}; \draw[fill] (-3,0.5) node{$\Omega_{22}$}; \draw[fill] (-1.5,0.3) node{$\Omega_{23}$}; \draw[fill] (-1.5,-0.3) node{$\Omega_{24}$}; \draw[fill] (-3,-0.8) node{$\Omega_{25}$}; \draw[fill] (-4.5,-0.3) node{$\Omega_{26}$}; \draw[fill] (-6.5,1.7) node{$\Sigma_{21}$}; \draw[fill] (-6.5,-1.7) node{$\Sigma_{24}$}; \draw[fill] (-1.5,1.2) node{$\Sigma_{22}$}; \draw[fill] (-1.5,-1.2) node{$\Sigma_{23}$}; \draw[->][thick](-6,-1.5)--(-4,-0.5); \draw[-][thick](-4,-0.5)--(-3,0); \draw[->][thick](-3,0)--(-1.5,0.75); \draw[-][thick](-1.5,0.75)--(-0,1.5); \draw[->][thick](-3,0)--(-1.5,-0.75); \draw[-][thick](-1.5,-0.75)--(0,-1.5); \draw[fill][red] (0,0) circle [radius=0.05]; \draw[fill][red] (0,-0.3) node{$0$}; \draw[->][dashed][thick](0,-3)--(0,3); \draw[fill] (0.6,3) node{$Imz$}; \draw[fill] [blue](-3,0) circle [radius=0.05]; \draw[fill][blue] (-3,-0.3) node{$z_{2}$}; \draw[-][thick](6,1.5)--(4,0.5); \draw[<-][thick](4,0.5)--(3,0); \draw[fill] (4.5,0.3) node{$\Omega_{11}$}; \draw[fill] (3,0.5) node{$\Omega_{12}$}; \draw[fill] (1.5,0.3) node{$\Omega_{13}$}; \draw[fill] (1.5,-0.3) node{$\Omega_{14}$}; \draw[fill] (3,-0.8) node{$\Omega_{15}$}; \draw[fill] (4.5,-0.3) node{$\Omega_{16}$}; \draw[fill] (6.5,1.7) node{$\Sigma_{11}$}; \draw[fill] (6.5,-1.7) node{$\Sigma_{14}$}; \draw[fill] (1.5,1.2) node{$\Sigma_{12}$}; \draw[fill] (1.5,-1.2) node{$\Sigma_{13}$}; \draw[-][thick](6,-1.5)--(4,-0.5); \draw[<-][thick](4,-0.5)--(3,0); \draw[-][thick](3,0)--(1.5,0.75); \draw[<-][thick](1.5,0.75)--(0,1.5); \draw[-][thick](3,0)--(1.5,-0.75); \draw[<-][thick](1.5,-0.75)--(0,-1.5); \draw[fill][blue] (3,-0.3) node{$z_{1}$}; \end{tikzpicture}}
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\begin{tikzpicture} [->,shorten >=1pt,scale=.75,inner sep=1pt, minimum size=12pt, auto=center, node distance=3cm, thick, node/.style={circle, draw=black, thick},] \tikzstyle{block1} = [rectangle, draw, fill=red!10, text width=8em, text centered, rounded corners, minimum height=0.8cm, minimum width=1cm]; \node (rect) at (0,0) (A) [draw, rounded corners, minimum width= 1.5cm, minimum height=1cm] {Worker}; \node (rect) at (6,0) (S) [draw, rounded corners, minimum width= 1.5cm, minimum height=1cm] {Server}; \coordinate (a1) at (1, 0.4); \coordinate (s1) at (5,0.4); \draw[->,thick] (s1) -- node[pos=.5,above]{Iterate $x_t$} (a1); \coordinate (a2) at (1,-0.4); \coordinate (s2) at (5,-0.4); \draw[->,thick] (a2) -- node[pos=.5,below] {$B$-bit symbol $\sigma_t$} node[pos=.5,above] {Channel} (s2); \node at (0,-1.6) {Encode $\nabla f(x_t)$}; \node at (8, -1.6) {Perform update: $x_{t+1}=x_{t}-\alpha g_t$}; \end{tikzpicture}
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\begin{tikzpicture}[scale=1.25] \begin{scope}[scale=0.9] \draw [->](-1.5,0)--(-1.5,3); \draw [->](-1.5,0)--(3,0); \draw [rotate=45](1.5,-1) rectangle (3.5,0.5); \draw [fill=gray,rotate=45](1.7,-1.15) rectangle (2.1,-1); \draw [fill=gray,rotate=45](3,-1.15) rectangle (3.4,-1); \draw [fill=gray,rotate=45](1.7,0.5) rectangle (2.1,0.65); \draw [fill=gray,rotate=45](3,0.5) rectangle (3.4,0.65); \draw [->,thick](2,1.75)--(1,2.75); \draw (1.0,2.25)node [rotate=45]{\tiny{$V_y(t)$}}; \draw [->,dashed](2,1.75)--(0.5,3.25); \draw [->,thick](2.0,1.75)--(3,2.75); \draw (3.25,2.5)node [rotate=45]{\tiny{$V_x(t)$}}; \draw [->,dashed](2.0,1.75)--(3.25,3); \draw[dashed](2,0)--(2,1.75); \draw[dashed](-1.5,1.75)--(3.5,1.75); \draw (2.5,1.75) arc (0:45:0.5); \draw (2.7,2)node {\small{$\theta$}}; \draw (-1.6,3)node{\small{Y}}; \draw (3.25,0)node{\small{X}}; \draw (2,-0.1)node{\tiny{$x$}}; \draw (-1.6,1.75)node{\tiny{$y$}}; \draw (-0.25,3)circle (1mm); \draw [<->](2.2,0.5)--(-0.25,3); \draw [<->](1,0.75)--(-0.75,2.5); \draw[dashed](2,1.75)--(0.5,0.25); \draw (-0.75,2.9)node {\small{ICC}}; \draw (-0.0,1.25)node {\small{R}}; \draw (1.5,1) node [rotate=135]{\small{\textsl{l}}}; \end{scope} \end{tikzpicture}
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\begin{tikzpicture} [ level 1/.style = {sibling distance = 3cm}, level 2/.style = {sibling distance = 1cm}, level 3/.style = {sibling distance = 3cm} ] \node {$X'$} child { node { $A$}} child { node{$B$}} ; \end{tikzpicture}
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\begin{tikzpicture}[scale=.2] \begin{scope} \draw[thin, scale=2] (0, 0) grid (2, 2); \draw[very thick ] (0,0) -- (0,-4); \draw[very thick] (4,0) -- (4,-4); \draw[very thick] (0,-2) -- (4,-2); \draw[very thick] (0,-4) -- (4,-4); \draw[very thick] (4,-4) -- (8,-4); \draw[very thick] (4,4) -- (8,4); \draw[very thick] (6,-4) -- (6,4); \draw[very thick] (8,-4) -- (8,4); \end{scope} \end{tikzpicture}
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\begin{tikzpicture}[scale = 0.5] \draw[step=1cm,black,very thin] (3, 0) grid (11,6); \fill[blue!40!white] (3,0) rectangle (4,1); \fill[blue!40!white] (3,1) rectangle (4,2); \fill[blue!40!white] (4,1) rectangle (5,2); \fill[blue!40!white] (4,2) rectangle (5,3); \fill[blue!40!white] (4,3) rectangle (5,4); \fill[blue!40!white] (4,4) rectangle (5,5); \fill[blue!40!white] (4,5) rectangle (5,6); \fill[blue!40!white] (5,1) rectangle (6,2); \fill[blue!40!white] (5,2) rectangle (6,3); \fill[blue!40!white] (5,3) rectangle (6,4); \fill[blue!40!white] (5,4) rectangle (6,5); \fill[blue!40!white] (5,5) rectangle (6,6); \fill[blue!40!white] (6,1) rectangle (7,2); \fill[blue!40!white] (7,1) rectangle (8,2); \fill[blue!40!white] (8,1) rectangle (9,2); \fill[blue!40!white] (8,2) rectangle (9,3); \fill[blue!40!white] (8,3) rectangle (9,4); \fill[blue!40!white] (8,4) rectangle (9,5); \fill[blue!40!white] (8,5) rectangle (9,6); \fill[blue!40!white] (9,1) rectangle (10,2); \fill[blue!40!white] (9,2) rectangle (10,3); \fill[blue!40!white] (9,3) rectangle (10,4); \fill[blue!40!white] (9,4) rectangle (10,5); \fill[blue!40!white] (9,5) rectangle (10,6); \fill[blue!40!white] (10,0) rectangle (11,1); \fill[blue!40!white] (10,1) rectangle (11,2); \draw[step=1cm,black,very thin] (3, 0) grid (11,6); \end{tikzpicture}
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\begin{tikzpicture}[scale=1.5] \draw[->] (0,-0.3) -- (0,3.5); \draw[->] (-0.3,0) -- (5,0); \node[below] at (4.9,0) {\small $r$}; \node[left] at (0,3.4) {\small $t$}; \draw [domain=0:3.5] plot(\x, \x); \node[right] at (3.4,3.4) {\tiny $t=r$}; \draw[dashed] [domain=0:5] plot (\x, 1.5); \node[left] at (0,1.5) {\small $T$}; \draw[dashed] [domain=0:5.3] plot (\x, 3); \node[left] at (0,3) {\small $2T$}; \draw[red, thick] [domain=0.5:2] plot(\x+.5, \x+1); \draw[red, thick] [domain=.5:2] plot(\x, \x+1); \draw[red, thick] [domain=0:0.5] plot(\x+.5, 1.5); \draw[red, thick] [domain=1.5:2] plot(\x+.5, 3); \node[red,thick] at (0.9, 2.4) {\tiny $C^+_{TS}$}; \draw[red, thick] [domain=2.5:4] plot(\x-.5, \x-1); \draw[red, thick] [domain=3.5:5] plot(\x-1, \x-2); \draw[red, thick] [domain=2.5:3] plot(\x-.5, 1.5); \draw[red, thick] [domain=4:4.5] plot(\x-.5, 3); \node[red,thick] at (3.9, 2.4) {\tiny $C^{-}_{TS}$}; \fill[red!40,nearly transparent] (2,1.5) -- (2.5,1.5) -- (4,3) -- (3.5,3) -- cycle; \fill[red!40,nearly transparent] (0.5,1.5) -- (1,1.5) -- (2.5,3) -- (2, 3) -- cycle; \end{tikzpicture}
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\begin{tikzpicture} \draw (0,0) grid (5,1); \foreach \x in {0,...,4} \draw (\x,0)--++(1,1); \foreach \x in {1,...,5} \draw[dotted] (\x,0)--++(-1,1); \draw (0,0) node [below]{$N$}; \foreach \x in {0,...,4} \draw (\x+1,0) node [below] {$\x$}; \foreach \x in {0,...,5} \draw (\x,1) node [above] {$\x$}; \end{tikzpicture}
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\begin{tikzpicture}%[>=Stealth] \draw (-2,0) -- (2,0); \draw (-1.5,2) -- (1.2,-1.6); \draw (-1.2,-1.6) -- (1.5,2); \filldraw (0,0) circle [radius=1.5pt] (0.5,2) circle [radius=1.5pt] (1.78,1.025) circle [radius=1.5pt] (1.78,-1.025) circle [radius=1.5pt] (1.14,0.4875) circle [radius=1.5pt]; \draw (-0.5,0.25) node {$x^*$} (0.9,2.1) node {$x^k$} (3.05,1.125) node {$y^k=R_{C_1}(x^k)$} (3.05,-1.025) node {$z^k=R_{C_2}(y^k)$} (0.75,0.3) node {$x^{k+1}$}; \draw (-1.5,0.25) node {$C_2$} (-1.1,-1.05) node {$C_1$}; \draw [-stealth] (0.5,2) -- (1.7,1.085); \draw [-stealth] (1.78,1.025) -- (1.78,-0.925); \draw [dash pattern=on 3pt off 2pt] (0.5,2) -- (1.78,-1.025); \end{tikzpicture}
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\begin{tikzpicture}[scale=.7, transform shape] \tikzstyle{session1arrow}=[<->,semithick] \tikzstyle{session2arrow}=[->, semithick, dashed] \node (proximity) at (0,0) [circle, draw=black, very thick, minimum width=4cm]{}; \node (verifier) at (-1,0){\includegraphics[scale=.03]{16172_images_honest.png}}; \node (ghost) at (-1,-2.5){}; \node (device) at (1,0) {\includegraphics[scale=.03]{16173_images_attacker.png}}; \draw [session1arrow] (device) to node [above] [near start] {} (verifier); \node [above of =device, node distance=0.5cm] {Device}; \node [above of =verifier, node distance=0.5cm] {Verifier}; \end{tikzpicture}
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assets/cs/16172_images_honest.png
assets/cs/16173_images_attacker.png
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\begin{tikzpicture}[scale=1.6, every node/.style={scale=.8}] \def\t{.5}; %fee \def\QUSD{1.15}; %initial DAI pool \def\QE{1.15}; % initial ETH pool \draw[->] (0,0) -- (6.5,0) node[below right] {ETH}; \draw[->] (0,0) -- (0,6) node[above left] {DAI}; \draw[dotted] (0,\QUSD)node[left]{$Y$} -- (\QE,\QUSD) -- (\QE,0) node[below]{$X$}; \draw[domain=.8:2.6,smooth,variable=\x, blue] plot ({\x},{5.1/\x-(\t/(1-\t))*\QUSD}) ; \draw[dotted,domain=2.6:4,smooth,variable=\x, blue] plot ({\x},{5.1/\x-(\t/(1-\t))*\QUSD}) ; \draw[domain=2.6:6.5,smooth,variable=\x, blue] plot ({\x},{(3.1/(\x+\QE*(\t/(1-\t)))}) ; \draw[dotted,domain=0.4:2.6,smooth,variable=\x, blue] plot ({\x},{(3.1/(\x+\QE*(\t/(1-\t)))}) ; \draw (0,1.4) --(6.25,0); \draw(5,0) arc[start angle=0, end angle=-30, radius=-.5]; \node at (4.45,0.15) {$-\tilde p( x, x_{i''},\tau)$}; \draw (0,2.8) --(3.65,0); \draw(3.25,0) arc[start angle=0, end angle=-30, radius=-.5]; \node at (2.7,0.15) {$-\tilde p( x, x_{i'},\tau)$}; \end{tikzpicture}
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\begin{tikzpicture} \node[draw, circle, inner sep=0pt, minimum size=14pt] (v0) at (0,0) {$v_0$}; \node[draw, circle, inner sep=0pt, minimum size=14pt] (v1) at (1,-1) {$v_1$}; \node[draw, circle, inner sep=0pt, minimum size=14pt] (vj1) at (-1,-1) {\scriptsize $v_{j+2}$}; \node[draw, circle, inner sep=0pt, minimum size=14pt] (vj2) at (4,-1) {\scriptsize $v_{j-1}$}; \node[draw, circle, inner sep=0pt, minimum size=14pt] (vl0) at (3,0) {$v_\lambda$}; \node[draw, circle, inner sep=0pt, minimum size=14pt] (vl1) at (2,-1) {\scriptsize $v_{\lambda-1}$}; \draw[thick] (v0)--(v1) (v0) -- (vj1) (vl0)--(vl1) (vl0) -- (vj2) (v0) edge[dashed] (vl0); \draw[thick,dashdotted] plot [smooth, tension=2] coordinates { (v1.south) (2.5,-2) (vj2.south) }; \draw[thick,dashdotted] plot [smooth, tension=2] coordinates { (vl1.south) (0.5,-2) (vj1.south) }; \end{tikzpicture}
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\begin{tikzpicture} \node[circle, draw, minimum size = 4em]{Root}[sibling distance= 5 cm, level distance = 3 cm] child {node[circle, draw, minimum size = 4em] {$N_1$} [sibling distance = 2.5 cm] child{node[circle, draw, minimum size = 4em] {AQ1} edge from parent node[left, xshift=-0.2cm] {\Large 11.6}} child {node[circle, draw, minimum size = 4em] {OQ} edge from parent node[right, xshift=0.2cm] {\Large 10.3}} edge from parent node[left, xshift=-0.2cm] {\Large 8.1} } child {node[circle, draw, minimum size = 4em] {$N_2$} [sibling distance = 2.5 cm] child {node[circle, draw, minimum size = 4em] {AQ2} edge from parent node[left, xshift=-0.2cm] {\Large 5.6}} child{node[circle, draw, minimum size = 4em] {TQ} edge from parent node[right, xshift=0.2cm] {\Large 9.2}} edge from parent node[right, xshift=0.2cm] {\Large 11.2} }; \end{tikzpicture}
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\begin{tikzpicture}[scale=0.8] \draw[thick,dashed,->] (-0.5,0)--(3,0); \draw[thick,dashed,->] (0,-0.5)--(0,2); \draw[thick,gray] (1,-0.5) -- (1,2); \node at (0,0) {$\bullet$}; \node at (1,0) {\color{gray}$\bullet$}; \node at (1,1.5) {\color{gray}$\bullet$}; \node at (-0.3,1.8) {e${}_2$}; \node at (2.8,-0.3) {e${}_1$}; \end{tikzpicture}
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\begin{tikzpicture} \node[circle, draw, fill=black, inner sep=1.5pt, label=above:1] (v1) at (-4/3,0) {}; \node[circle, draw, fill=black, inner sep=1.5pt,label=right:2] (v2) at (0,0) {}; \node[circle, draw, fill=black, inner sep=1.5pt, label= right :3] (v3) at (3/4,1) {}; \node[circle, draw, fill=black, inner sep=1.5pt, label= right:4] (v4) at (3/4,-1) {}; \fill[color=lightgray] (v1.center) -- (v2.center) -- (v3.center) -- cycle; \fill[color=lightgray] (v1.center) -- (v2.center) -- (v4.center) -- cycle; \draw (v1) -- (v2); \draw (v1) -- (v3); \draw (v1) -- (v4); \draw (v2) -- (v3); \draw (v2) -- (v4); \draw (v3) -- (v4); \node[circle, draw, fill=black, inner sep=1.5pt] at (-4/3,0) {}; \node[circle, draw, fill=black, inner sep=1.5pt] at (0,0) {}; \node[circle, draw, fill=black, inner sep=1.5pt] at (3/4,1) {}; \node[circle, draw, fill=black, inner sep=1.5pt] at (3/4,-1) {}; \end{tikzpicture}
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\begin{tikzpicture} \begin{axis}[% width=4.5in, height=3.5in, scale only axis, xmin=0.1, xmax=0.5, xlabel style={font=\color{white!15!black}, at={(axis cs: 0.3,0.1)}}, xlabel={Bit per pixel (BPP)}, ymode=log, ymin=0.1, ymax=0.5, yminorticks=true, ytick = {0.1,0.15,0.2, 0.25, 0.3, 0.35, 0.4, .45, .5}, yticklabels = {0.1,0.15,0.2, 0.25, 0.3, 0.35, 0.4, 0.45, 0.5}, ylabel style={font=\color{white!15!black}, at={(axis cs: 0.1,0.25)}}, ylabel={SSIM}, axis background/.style={fill=white}, xmajorgrids, ymajorgrids, yminorgrids, legend style={at={(axis cs: 0.5,0.1)}, anchor=south east, legend cell align=left, align=left, draw=white!15!black} ] \addplot [color=red, line width=1.0pt] table[row sep=crcr]{% 0.26616974914966 0.216819795287559\\ 0.266302614795918 0.217076911094681\\ 0.278984640731293 0.249056392831938\\ 0.303139615221088 0.301838144106932\\ 0.328636532738095 0.347287831829525\\ 0.566931069302721 0.557600654247583\\ }; \addlegendentry{JPEG} \addplot [color=black, line width=1.0pt] table[row sep=crcr]{% 0.131384194302721 0.0957299056703332\\ 0.143541400935374 0.149210727406744\\ 0.158814306972789 0.179399724771426\\ 0.17784731079932 0.208815158187379\\ 0.188436702806122 0.230824914521954\\ 0.219334608843537 0.2776170957478\\ 0.258576477465986 0.324522948655854\\ 0.296463116496599 0.365897396562047\\ 0.34402237457483 0.409028052413993\\ 0.442017431972789 0.464381009398488\\ 0.484634088010204 0.480418601139433\\ 0.561330782312925 0.503685930965175\\ }; \addlegendentry{JPEG-TMAE (Optimized)} \addplot [color=green, line width=1.0pt] table[row sep=crcr]{% 0.15583462185329858 0.10005479852202352\\ 0.1617889404296875 0.13439492852385929\\ 0.16532474093967017 0.15059053639389894\\ 0.16795010036892366 0.15883068032018086\\ 0.16986423068576387 0.16415489353010065\\ 0.17078823513454863 0.16656789836941904\\ 0.17131720648871526 0.16811935272638226\\ 0.17161220974392363 0.16865256504237\\ 0.17186652289496526 0.16927173673077942\\ 0.17205047607421875 0.16978527558660705\\ 0.1721369425455729 0.17018323184257259\\ 0.17225731743706596 0.1701982345665436\\ 0.17243872748480904 0.17030083823028472\\ 0.17266591389973954 0.17049914467515284\\ 0.2577395968967014 0.26311950422145176\\ 0.3071738349066841 0.32328938829565285\\ 0.33673434787326384 0.3824002583473112\\ 0.3608957926432292 0.4207165501303598\\ 0.3771396213107639 0.4428826127495627\\ 0.38805389404296875 0.45852518054993957\\ 0.3957095675998265 0.46985682074589286\\ 0.4020572238498264 0.47701610728861965\\ 0.40517340766059035 0.4811334995592545\\ 0.4079615275065105 0.4845167843088319\\ 0.40952131483289916 0.48739381847968577\\ 0.4108784993489584 0.4903266787751413\\ 0.412324693467882 0.4924518318067699\\ 0.4134462144639757 0.49421304458665083\\ }; \addlegendentry{ConvLSTM (CNN-LSTM Based)\cite{ConvLSTM}} \addplot [color=brown, line width=1.0pt] table[row sep=crcr]{% 0.17167522 0.16625049\\ 0.21742701 0.27015172\\ 0.27555805 0.34790647\\ 0.31232452 0.38280889\\ 0.39392401 0.43696703\\ 0.46371333 0.46766172\\ 0.58388265 0.50097406\\ 0.77102294 0.53066724\\ 1.01181511 0.54945989\\ }; \addlegendentry{cheng2020-anchor(CNN based)\cite{cheng2020image}} \addplot [color=blue, line width=1.0pt] table[row sep=crcr]{% 0.17003716 0.16144037\\ 0.21402232 0.25665099\\ 0.26508416 0.31950167\\ 0.29616631 0.34490801\\ 0.36334144 0.38455074\\ 0.45891232 0.46451866\\ 0.57301500 0.49298646\\ 0.74923282 0.52114487\\ 0.86121707 0.53466851\\ }; \addlegendentry{mbt2018(CNN Based)\cite{minnenbt18}} \end{axis} \end{tikzpicture}%
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\begin{tikzpicture} \draw [decorate, decoration={brace,amplitude=5pt},line width=0.5pt] (0,0) -- (5,0); \node at (2.5,0.4) {\tiny Theorems~\ref{thm:nonparam_dis_cont_a}~\&~\ref{thm:nonparam_dis_disc_a}}; \end{tikzpicture}
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\begin{tikzpicture}[scale=1.0,pin distance=0.5cm] \draw[step=0.125in,gray,very thin] (0,0) grid (2.0in,1.5in); \draw[thick,->] (-0.1in,0) -- (2.1in,0) node[below left] {FPR}; \draw[thick,->] (0,-0.1in) -- (0,1.6in) node[below left] {TPR}; \foreach \y/\l in {0.25,0.5,0.75} \draw (1pt,3*\y/2) -- (-1pt,3*\y/2) node[left] {\y}; \definecolor{c0}{RGB}{51,34,136} \definecolor{c1}{RGB}{68,170,153} \definecolor{c2}{RGB}{136,204,238} \definecolor{c3}{RGB}{17,119,51} \definecolor{c4}{RGB}{153,153,51} \draw (1.3333333333333333,1pt) -- (1.3333333333333333,-1pt) node[below] {$10^{-1}$}; \draw (0.6666666666666666,1pt) -- (0.6666666666666666,-1pt) node[below] {$10^{-2}$}; \draw[c1,ultra thick] (0.054,0.003) -- (1.073,0.215) -- (1.134,0.275) -- (1.175,0.329) -- (1.205,0.367) -- (1.237,0.403) -- node[pin=320:RoBERTa]{} (1.264,0.430) -- (1.289,0.464) -- (1.311,0.491) -- (1.330,0.517) -- (1.347,0.541) -- (1.364,0.567) -- (1.380,0.586) -- (1.395,0.610) -- (1.405,0.630) -- (1.415,0.649) -- (1.426,0.666) -- (1.437,0.685) -- (1.447,0.698) -- (1.457,0.709) -- (1.468,0.723) -- (1.479,0.735) -- (1.489,0.748) -- (1.497,0.762) -- (1.506,0.777) -- (1.515,0.794) -- (1.525,0.809) -- (1.533,0.823) -- (1.543,0.835) -- (1.553,0.846) -- (1.562,0.857) -- (1.570,0.870) -- (1.578,0.883) -- (1.587,0.895) -- (1.595,0.907) -- (1.604,0.919) -- (1.612,0.933) -- (1.620,0.945) -- (1.627,0.954) -- (1.635,0.964) -- (1.641,0.975) -- (1.649,0.991) -- (1.655,1.002) -- (1.662,1.014) -- (1.668,1.027) -- (1.675,1.036) -- (1.682,1.047) -- (1.689,1.057) -- (1.696,1.067) -- (1.702,1.079) -- (1.709,1.089) -- (1.719,1.099) -- (1.726,1.109) -- (1.732,1.118) -- (1.738,1.128) -- (1.744,1.137) -- (1.749,1.148) -- (1.756,1.156) -- (1.763,1.165) -- (1.769,1.173) -- (1.776,1.182) -- (1.781,1.191) -- (1.787,1.200) -- (1.792,1.210) -- (1.797,1.217) -- (1.802,1.223) -- (1.808,1.232) -- (1.814,1.240) -- (1.819,1.249) -- (1.824,1.257) -- (1.829,1.266) -- (1.834,1.276) -- (1.838,1.285) -- (1.844,1.292) -- (1.850,1.301) -- (1.855,1.308) -- (1.861,1.316) -- (1.866,1.324) -- (1.872,1.332) -- (1.877,1.339) -- (1.883,1.347) -- (1.889,1.356) -- (1.895,1.363) -- (1.901,1.370) -- (1.906,1.377) -- (1.912,1.385) -- (1.916,1.392) -- (1.923,1.400) -- (1.927,1.407) -- (1.934,1.414) -- (1.940,1.421) -- (1.947,1.429) -- (1.952,1.435) -- (1.958,1.442) -- (1.963,1.448) -- (1.968,1.456) -- (1.972,1.461) -- (1.977,1.468) -- (1.982,1.474) -- (1.988,1.482); \draw[c0,ultra thick] (0.000,0.051) -- (0.478,0.139) -- (0.645,0.194) -- (0.760,0.253) -- (0.841,0.280) -- (0.906,0.303) -- (0.967,0.334) -- (1.006,0.358) -- (1.042,0.381) node[pin=120:UAR]{}-- (1.076,0.404) -- (1.106,0.424) -- (1.134,0.446) -- (1.156,0.474) -- (1.176,0.505) -- (1.197,0.528) -- (1.218,0.548) -- (1.235,0.569) -- (1.252,0.591) -- (1.269,0.609) -- (1.285,0.630) -- (1.299,0.654) -- (1.315,0.671) -- (1.329,0.693) -- (1.342,0.712) -- (1.356,0.731) -- (1.371,0.748) -- (1.385,0.762) -- (1.397,0.778) -- (1.409,0.796) -- (1.420,0.813) -- (1.430,0.829) -- (1.439,0.843) -- (1.448,0.858) -- (1.458,0.871) -- (1.467,0.883) -- (1.476,0.894) -- (1.486,0.907) -- (1.498,0.920) -- (1.508,0.932) -- (1.517,0.944) -- (1.526,0.955) -- (1.533,0.967) -- (1.542,0.980) -- (1.551,0.993) -- (1.563,1.010) -- (1.576,1.030) -- (1.591,1.049) -- (1.605,1.067) -- (1.612,1.077) -- (1.619,1.087) -- (1.626,1.097) -- (1.632,1.108) -- (1.640,1.117) -- (1.648,1.129) -- (1.654,1.139) -- (1.660,1.149) -- (1.667,1.158) -- (1.674,1.169) -- (1.681,1.177) -- (1.688,1.186) -- (1.696,1.194) -- (1.703,1.204) -- (1.710,1.211) -- (1.717,1.219) -- (1.724,1.228) -- (1.730,1.236) -- (1.735,1.245) -- (1.742,1.252) -- (1.749,1.260) -- (1.755,1.268) -- (1.761,1.278) -- (1.768,1.286) -- (1.773,1.295) -- (1.779,1.302) -- (1.785,1.311) -- (1.790,1.319) -- (1.796,1.326) -- (1.802,1.334) -- (1.809,1.342) -- (1.814,1.352) -- (1.820,1.360) -- (1.827,1.368) -- (1.834,1.376) -- (1.841,1.383) -- (1.850,1.395) -- (1.867,1.412) -- (1.877,1.420) -- (1.882,1.427) -- (1.889,1.433) -- (1.895,1.439) -- (1.903,1.445) -- (1.909,1.451) -- (1.915,1.457) -- (1.923,1.463) -- (1.932,1.469) -- (1.942,1.476) -- (1.954,1.480) -- (1.963,1.486) -- (1.972,1.492) -- (1.983,1.495); \end{tikzpicture}
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\begin{tikzpicture}[baseline={(0, +0.3cm)}] \draw[thick] (-2.5,-0.05) -- (2.5,-0.05); \draw[thick] (-1.5,0) -- (1.5,0); \draw[thick] (1.5,0) -- (1.5,1); \draw[thick] (-1.5,0) -- (-1.5,1); \draw[thick] (.5,0.05) -- (0.5,1); \draw[thick] (-.5,0.05) -- (-.5,1); \draw[thick] (-.5,0.05) -- (.5,0.05); \node at (-2.6,-0.1) {$1$}; \node at (-1.5,1.2) {$2$}; \node at (-.5,1.2) {$3$}; \node at (.5,1.2) {$4$}; \node at (1.5,1.2) {$5$}; \node at (2.6,-0.1) {$6$}; \end{tikzpicture}
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physics
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\begin{tikzpicture} \node[circle,draw, minimum width=0.25in] at (0,0) (a) {$a$}; \node[circle,draw,minimum width=0.25in] at (3,0) (c) {$c$}; \node[circle,draw,minimum width=0.25in, fill=gray!75] at (1.5,1.5) (b) {$b$}; \node[circle,draw,minimum width=0.25in, fill=gray!75] at (1.5,-1.5) (d) {$d$}; \path[->,draw,thick] (a) to[pos=.7] node[fill=white] {$6$} (c); \path[->,draw,thick] (b) to node[fill=white] {$5$} (a); \path[->,draw,thick] (a) to node[fill=white] {$2$} (d); \path[->,draw,thick] (c) to node[fill=white] {$1$} (d); \path[->,draw,thick] (b) to[pos=.7] node[fill=white] {$3$} (d); \path[->,draw,thick] (c) to node[fill=white] {$4$} (b); \end{tikzpicture}
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econ
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\begin{tikzpicture}[baseline] \begin{scope}[shift={(0,3)}] \node at (0,-2.5) {$\text{Ising}^e_0\oplus(\text{Ising}^m_1)_{\sqrt2}\oplus(\text{Ising}^m_2)_{\sqrt2}$}; \begin{scope}[shift={(-1.9,0)}] \draw [stealth-stealth](1.3,-2.2) .. controls (1.1,-1.9) and (0.2,-1.9) .. (0,-2.2); \end{scope} \draw [stealth-stealth](-2,-2.2) .. controls (-1.6,-1.3) and (0.9,-1.3) .. (1.3,-2.2); \node at (-0.3,-1.3) {$S$}; \draw [-stealth](-2.2,-2.8) .. controls (-2.6,-3.3) and (-1.6,-3.3) .. (-2,-2.8); \node at (-2.1,-3.5) {$A$}; \begin{scope}[shift={(-0.4,-1.2)}] \draw [stealth-stealth](2,-1.6) .. controls (1.8,-2.1) and (0.2,-2.1) .. (0,-1.6); \node at (1,-2.3) {$A$}; \end{scope} \end{scope} \end{tikzpicture}
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math
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\begin{tikzpicture} \node[anchor=south west,inner sep=0] at (0,0) { \includegraphics[width=.99\textwidth]{6763_imgs_levir_changeformer_gt_1771.jpg}}; \end{tikzpicture}
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cs
assets/cs/6763_imgs_levir_changeformer_gt_1771.jpg
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\begin{tikzpicture}[>=stealth, node distance=1.5cm] \tikzstyle{square} = [draw, thick, minimum size=1.0mm, inner sep=3pt] \begin{scope} \path[->, thick] node[] (a) {$A$} node[right of=a] (y) {$Y$} node[above of=a, xshift=0.75cm] (u) {$U$} node[left of=u] (age) {Age} node[right of=u] (gen) {Gender} (a) edge[black] (y) (u) edge[black] (a) (u) edge[black] (y) (age) edge[black] (a) (age) edge[black] (y) (gen) edge[black] (a) (gen) edge[black] (y) ; \end{scope} \end{tikzpicture}
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\begin{tikzpicture} \begin{axis} [xbar, grid=major, bar width =25, symbolic y coords={device\_off,weather,wind\_speed,BPM,location}, ytick=data, nodes near coords] \addplot [draw=black,fill=gray] coordinates { (0.2,device\_off) (0.15,weather) (0.14,wind\_speed) (0.12,BPM) (0.1,location) }; \end{axis} \end{tikzpicture}
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\begin{tikzpicture}[scale=0.4,style=thick,x=1cm,y=1cm] \def\vr{6pt} \begin{scope} %mutual \coordinate(a) at (0,14); \coordinate(b) at (2,14); \coordinate(c) at (2,12); \coordinate(d) at (0,12); \draw (a) -- (b) -- (c) -- (d) -- (a) -- (c) -- (b) -- (d); \draw(a)[fill=black] circle(\vr); \draw(b)[fill=black] circle(\vr); \draw(c)[fill=black] circle(\vr); \draw(d)[fill=black] circle(\vr); \node at (-6,13) {Mutual-visibility}; \end{scope} \begin{scope} %outer \coordinate(a) at (0,10); \coordinate(b) at (2,10); \coordinate(c) at (2,8); \coordinate(d) at (0,8); \coordinate(e) at (4,10); \coordinate(f) at (6,10); \coordinate(g) at (6,8); \coordinate(h) at (4,8); \draw (a) -- (b) -- (c) -- (d) -- (a) -- (c) -- (b) -- (d); \draw (e) -- (h) -- (g) -- (e) -- (f) -- (h); \draw(a)[fill=black] circle(\vr); \draw(b)[fill=black] circle(\vr); \draw(c)[fill=black] circle(\vr); \draw(d)[fill=black] circle(\vr); \draw(e)[fill=black] circle(\vr); \draw(f)[fill=black] circle(\vr); \draw(g)[fill=black] circle(\vr); \draw(h)[fill=black] circle(\vr); \node at (-7.3,9) {Outer mutual-visibility}; \end{scope} \begin{scope} %dual \coordinate(a) at (0,6); \coordinate(b) at (2,6); \coordinate(c) at (2,4); \coordinate(d) at (0,4); \coordinate(e) at (4,6); \coordinate(f) at (6,6); \coordinate(g) at (6,4); \coordinate(h) at (4,4); \draw (a) -- (b) -- (c) -- (d) -- (a) -- (c) -- (b) -- (d); \draw (e) -- (f) -- (g) -- (h) -- (e); \draw(a)[fill=black] circle(\vr); \draw(b)[fill=black] circle(\vr); \draw(c)[fill=black] circle(\vr); \draw(d)[fill=black] circle(\vr); \draw(e)[fill=black] circle(\vr); \draw(f)[fill=black] circle(\vr); \draw(g)[fill=black] circle(\vr); \draw(h)[fill=black] circle(\vr); \node at (-7.1,5) {Dual mutual-visibility}; \end{scope} \begin{scope} %total \coordinate(a) at (0,2); \coordinate(b) at (2,2); \coordinate(c) at (2,0); \coordinate(d) at (0,0); \coordinate(e) at (4,2); \coordinate(f) at (6,2); \coordinate(g) at (6,0); \coordinate(h) at (4,0); \coordinate(i) at (8,2); \coordinate(l) at (10,2); \coordinate(m) at (10,0); \coordinate(n) at (8,0); \draw (a) -- (b) -- (c) -- (d) -- (a) -- (c) -- (b) -- (d); \draw (e) -- (h) -- (g) -- (e) -- (f) -- (h); \draw (i) -- (l) -- (m) -- (n) -- (i); \draw(a)[fill=black] circle(\vr); \draw(b)[fill=black] circle(\vr); \draw(c)[fill=black] circle(\vr); \draw(d)[fill=black] circle(\vr); \draw(e)[fill=black] circle(\vr); \draw(f)[fill=black] circle(\vr); \draw(g)[fill=black] circle(\vr); \draw(h)[fill=black] circle(\vr); \draw(i)[fill=black] circle(\vr); \draw(l)[fill=black] circle(\vr); \draw(m)[fill=black] circle(\vr); \draw(n)[fill=black] circle(\vr); \node at (-7.3,1) {Total mutual-visibility}; \end{scope} \end{tikzpicture}
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\begin{tikzpicture}[scale=1.3] \draw[thick,domain = -90:180] plot({cos(\x)},{sin(\x)}); \draw[thick,domain =0:90] plot ({0.35*cos(\x)},{0.35*sin(\x)}); \node[] at (0.5,0.15) {$\frac{\pi}{4}$}; \draw[thick,green] (1,0)--(0,0)--(-1,0); \draw[thick,blue] (0,1)--(0,0)--(0,-1); \filldraw[black] (0,0) circle (0.1); \end{tikzpicture}
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\begin{tikzpicture} \node[inner sep=0pt] at (-0,5) {\includegraphics[width=1\textwidth]{9419_figures_Corr_CovarianceReconstructedLambda.pdf}}; \node at (-8,10) {\textbf{(a)}}; \node[inner sep=0pt] at (-0,-4) {\includegraphics[width=0.8\textwidth]{9420_figures_error_weights.pdf}}; \node at (-8,-1) {\textbf{(b)}}; \end{tikzpicture}
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physics
assets/physics/9419_figures_Corr_CovarianceReconstructedLambda.pdf
assets/physics/9420_figures_error_weights.pdf
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\begin{tikzpicture} \begin{axis}[ width=0.49\textwidth, height=150pt, xlabel={\footnotesize Epoch}, ylabel={\footnotesize WER (\%)}, xmin=0, xmax=62, ymin=0, ymax=100, xtick={0,10,20,30,40,50,60}, ytick={0,20,40,60,80,100}, legend style={at={(0.45,-0.45)}, anchor=north west, legend columns=6, anchor=north}, ymajorgrids=true, xmajorgrids=true, major grid style={line width=0.6pt,dotted,green!10!black} ] \addplot[ mark=+, mark size=1pt, smooth, line width=1pt ] coordinates { (1,71.93)(10,46.18)(20,36.80)(30,32.96)(40,31.66)(50,29.93)(60,28.78) }; \addlegendentry{ \texttt{TeLeS}}; \node (mark) [draw, green, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 1,71.93) {}; \node (mark) [draw, green, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 10,46.18) {}; \node (mark) [draw, green, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 20,36.80) {}; \node (mark) [draw, green, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 30,32.96) {}; \node (mark) [draw, red, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 40,31.66) {}; \node (mark) [draw, red, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 50,29.93) {}; \node (mark) [draw, red, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 60,28.78) {}; \addplot[ mark=square, mark size=1pt, smooth, line width=1pt ] coordinates { (1,95.43)(10,84.8)(20,65.94)(30,43.53)(40,39.29)(50,34.74)(60,31.71) }; \addlegendentry{Path Probability}; \node (mark) [draw, green, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 1,95.43) {}; \node (mark) [draw, green, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 10,84.8) {}; \node (mark) [draw, green, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 20,65.94) {}; \node (mark) [draw, green, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 30,43.53) {}; \node (mark) [draw, red, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 40,39.29) {}; \node (mark) [draw, red, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 50,34.74) {}; \node (mark) [draw, red, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 60,31.71) {}; \addplot[ mark=*, mark size=1pt, smooth, line width=1pt ] coordinates { (1,92.48)(10,80.5)(20,64.75)(30,59.97)(40,52.49)(50,38.02)(60,33.09) }; \addlegendentry{Dropout}; \node (mark) [draw, green, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 1,92.48) {}; \node (mark) [draw, green, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 10,80.5) {}; \node (mark) [draw, green, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 20,64.75) {}; \node (mark) [draw, green, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 30,59.97) {}; \node (mark) [draw, red, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 40,52.49) {}; \node (mark) [draw, red, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 50,38.02) {}; \node (mark) [draw, red, circle, minimum size = 5pt, inner sep=1pt, thick] at (axis cs: 60,33.09) {}; \end{axis} \end{tikzpicture}
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\begin{tikzpicture} \node[anchor=mid] at (-2.9,5.8){\textbf{(a)} Single-degree-of-freedom system}; \node at (-3.1,3.2){\includegraphics[width=0.36\textwidth]{6226_figs_1dof_BW_cs1.pdf}}; \node[anchor=mid] at (5.5,5.8){\textbf{(b)} System response}; \node at (5.2,3){\includegraphics{6227_figs_orig_resp.pdf}}; \node[anchor=mid] at (5.5,.3){\textbf{(c)} Noisy data}; \node at (5.2,-2.5){\includegraphics{6228_figs_noisy_data.pdf}}; \end{tikzpicture}
plot
stat
assets/stat/6226_figs_1dof_BW_cs1.pdf
assets/stat/6227_figs_orig_resp.pdf
assets/stat/6228_figs_noisy_data.pdf
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\begin{tikzpicture} \def \n {12} \def \radius {1.7cm} \def \margin {1} % margin in angles, depends on the radius \node[label=right:{$o$},draw, circle] at ({0}:\radius) {}; \foreach \s in {1,...,\n} { \node[draw, circle] at ({360/\n * (\s - 1)}:\radius) { }; \draw ({360/\n * (\s - 1)+\margin}:\radius) edge ({360/\n * (\s)-\margin}:\radius); } \end{tikzpicture}
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physics
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\begin{tikzpicture}[scale=0.8\columnwidth/10cm,font=\footnotesize] \begin{axis}[% width=8 cm, height=4 cm, at={(1.011in,0.642in)}, scale only axis, xmin=15, xmax=35, xlabel style={font=\color{white!15!black}}, xlabel={Transmit Power (dBm)}, ymode=log, ymin=0.01, ymax=1000, yminorticks=true, ylabel style={font=\color{white!15!black}}, ylabel={RMSE (m/s)}, axis background/.style={fill=white}, xmajorgrids, ymajorgrids, yminorgrids, legend pos=south west, legend style={legend cell align=left, align=left, draw=white!15!black} ] \addplot [color=red, line width=2.0pt, mark=o, mark options={solid, red}] table[row sep=crcr]{% 15 199.243780158084\\ 17.5000000000000 194.163167940730\\ 20 174.228060997417\\ 22.5000000000000 91.3895720013635\\ 25 3.65264668570572\\ 27.5000000000000 1.22272600933260\\ 30 0.427381773468185\\ 32.5000000000000 0.0439498826946753\\ 35 0.0334928255770541\\ }; \addlegendentry{Joint, $M/L=2$} \addplot [color=blue, line width=2.0pt, mark=triangle, mark options={solid, blue}] table[row sep=crcr]{% 15 190.855917549964\\ 17.5000000000000 195.664218994481\\ 20 178.050278183231\\ 22.5000000000000 123.834231220601\\ 25 12.1888612815114\\ 27.5000000000000 0.283925327056736\\ 30 0.0577413244336539\\ 32.5000000000000 0.0421210208191051\\ 35 0.0327317648156685\\ }; \addlegendentry{Joint, $M/L=5$} \addplot [color=red, dashdotted, line width=2.0pt] table[row sep=crcr]{% 15 0.336285841175641\\ 17.5000000000000 0.252178804979125\\ 20 0.189107425571529\\ 22.5000000000000 0.141810563378049\\ 25 0.106342920299630\\ 27.5000000000000 0.0797459401357261\\ 30 0.0598010187254517\\ 32.5000000000000 0.0448444376542461\\ 35 0.0336285841178686\\ }; \addlegendentry{CRB, $M/L=2$} \addplot [color=blue, dashed, line width=2.0pt] table[row sep=crcr]{% 15 0.327917487523110\\ 17.5000000000000 0.245903425032826\\ 20 0.184401554487220\\ 22.5000000000000 0.138281657902165\\ 25 0.103696614517354\\ 27.5000000000000 0.0777614907540377\\ 30 0.0583128916254873\\ 32.5000000000000 0.0437284997595780\\ 35 0.0327917487524856\\ }; \addlegendentry{CRB, $M/L=5$} \end{axis} \end{tikzpicture}%
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\begin{tikzpicture}[x = {(0.75cm,0.25cm)}, y={(0.6cm,-0.15cm)}, z={(0cm,1cm)},] \draw [color=orange, mark=*, mark size=1] plot coordinates{(-0.81684757298044, 0.63369514596088, -0.7745966692414834)}; \draw [color=orange, mark=*, mark size=1] plot coordinates{(0.63369514596088, -0.81684757298044, -0.7745966692414834)}; \draw [color=orange, mark=*, mark size=1] plot coordinates{(-0.81684757298044, -0.81684757298044, -0.7745966692414834)}; \draw [color=orange, mark=*, mark size=1] plot coordinates{(-0.108103018168072, -0.783793963663856, -0.7745966692414834)}; \draw [color=orange, mark=*, mark size=1] plot coordinates{(-0.783793963663856, -0.108103018168072, -0.7745966692414834)}; \draw [color=orange, mark=*, mark size=1] plot coordinates{(-0.108103018168072, -0.108103018168072, -0.7745966692414834)}; \draw [color=orange, mark=*, mark size=1] plot coordinates{(-0.81684757298044, 0.63369514596088, 0.0)}; \draw [color=orange, mark=*, mark size=1] plot coordinates{(0.63369514596088, -0.81684757298044, 0.0)}; \draw [color=orange, mark=*, mark size=1] plot coordinates{(-0.81684757298044, -0.81684757298044, 0.0)}; \draw [color=orange, mark=*, mark size=1] plot coordinates{(-0.108103018168072, -0.783793963663856, 0.0)}; \draw [color=orange, mark=*, mark size=1] plot coordinates{(-0.783793963663856, -0.108103018168072, 0.0)}; \draw [color=orange, mark=*, mark size=1] plot coordinates{(-0.108103018168072, -0.108103018168072, 0.0)}; \draw [color=orange, mark=*, mark size=1] plot coordinates{(-0.81684757298044, 0.63369514596088, 0.7745966692414834)}; \draw [color=orange, mark=*, mark size=1] plot coordinates{(0.63369514596088, -0.81684757298044, 0.7745966692414834)}; \draw [color=orange, mark=*, mark size=1] plot coordinates{(-0.81684757298044, -0.81684757298044, 0.7745966692414834)}; \draw [color=orange, mark=*, mark size=1] plot coordinates{(-0.108103018168072, -0.783793963663856, 0.7745966692414834)}; \draw [color=orange, mark=*, mark size=1] plot coordinates{(-0.783793963663856, -0.108103018168072, 0.7745966692414834)}; \draw [color=orange, mark=*, mark size=1] plot coordinates{(-0.108103018168072, -0.108103018168072, 0.7745966692414834)}; \path (-1,-1,-1) coordinate (A) (1,-1,-1) coordinate (B) (-1,1,-1) coordinate (C); % (0,0,0) coordinate (D) (0,\z,\y) coordinate (E) (\x,\z,\y) coordinate (F) (\x,\z,0) coordinate (G) (0,\z,0) coordinate (H); \path (-1,-1,1) coordinate (D) (1,-1,1) coordinate (E) (-1,1,1) coordinate (F); \draw (A)--(B)--(C)--(A)--(D)--(E)--(F)--(D); \draw (B)--(E); \draw (C)--(F); \foreach \z in {-0.7745966692414834,0,0.7745966692414834}{ \draw [dashed, black, fill=black, fill opacity=0.075] (-1,-1,\z)--(1,-1,\z)--(-1,1,\z)--(-1,-1,\z); } \end{tikzpicture}
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\begin{tikzpicture}[scale = 1.3] \draw[thick,fill=gray!8] (-1,0) rectangle (1,1); \draw[thick,fill=gray!8] (0,-1) rectangle (1,1); \filldraw (0,0) circle (0.1); \end{tikzpicture}\hspace{0.8cm}
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\begin{tikzpicture}[baseline] \begin{scope}[shift={(0,3)}] \node at (1.5,-3) {$\text{Ising}_e\oplus\text{Ising}_m$}; \node at (3.5,-2.9) {$P$}; \draw [-stealth](2.7,-3.1) .. controls (3.2,-3.4) and (3.2,-2.5) .. (2.7,-2.8); \draw [-stealth,rotate=180](-0.2,2.8) .. controls (0.3,2.5) and (0.3,3.4) .. (-0.2,3.1); \node at (-0.5,-3) {$P$}; \draw [stealth-stealth](0.7,-3.3) .. controls (0.9,-3.7) and (1.9,-3.7) .. (2.1,-3.3); \node at (1.4,-3.9) {$S$}; \end{scope} \end{tikzpicture}
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\begin{tikzpicture}[font = \footnotesize] \draw (-4,0)--(-2,1.5) node[above] {$v^{a+1}$} --(0,2) node[above] {$v^{a}$}--(2,1) node[above right] {$v^{a-1}$}--(4,-1); \draw (-1,-1) node[below] {$\bar v$}--(0,2); \draw (-1,-1) node[below] {$\bar v$}--(-2,1.5); \draw (-1,-1) node[below] {$\bar v$}--(2,1); \filldraw (0,2) circle (2pt); \filldraw (-2,1.5) circle (2pt); \filldraw (2,1) circle (2pt); \filldraw (-1,-1) circle (2pt); \node[draw=none] at (0.2, 0.8) {I}; \node[draw=none] at (-1, 0.8) {II}; \end{tikzpicture}
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math
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50
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\begin{tikzpicture}[scale=.6] \draw [fill=gray!100] (-4,0) to (0,0) to (0,-4) to (-4,-4); \draw [fill=gray!25] (-4,-4) to (0,-4) to (0,-8) to (-4,-8); \draw [ultra thick][-] (-4,0) -- (4,0); \draw [dashed, ultra thick][-] (-4,-4) -- (0,-4); \draw [ultra thick][-] (-4,-8) -- (4,-8); \draw [ultra thick][-] (-4,0) -- (-4,-8); \draw [ultra thick][-] (0,0) -- (0,-8); \draw [ultra thick][-] (4,0) -- (4,-8); \node[align=center, above] at (-2,0) {$Z=1$}; \node[align=center] at (-2,-2) {$D=1$}; \node[align=center] at (-2,-6) {$D=0$}; \node[align=center] at (2,-4) {$D=0$}; \node[align=center, above] at (2,0) {$Z=0$}; \end{tikzpicture}
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econ
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\begin{tikzpicture} \node[inner sep=0pt] at (-0,6.5) {\includegraphics[width=\textwidth]{9417_figures_scExtract.pdf}}; \node at (-8.5,11) {\textbf{(a)}}; \node[inner sep=0pt] at (0,-1) {\includegraphics[width=\textwidth]{9418_figures_circuitExtract.pdf}}; \node at (-8.5,1) {\textbf{(b)}}; \end{tikzpicture}
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physics
assets/physics/9417_figures_scExtract.pdf
assets/physics/9418_figures_circuitExtract.pdf
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6
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\begin{tikzpicture} \node[circle, draw, fill=black, inner sep=1.5pt, label=above:1] (v1) at (-4/3,0) {}; \node[circle, draw, fill=black, inner sep=1.5pt,label=right:2] (v2) at (0,0) {}; \node[circle, draw, fill=black, inner sep=1.5pt, label= right :3] (v3) at (3/4,1) {}; \node[circle, draw, fill=black, inner sep=1.5pt, label= right:4] (v4) at (3/4,-1) {}; \fill[color=lightgray] (v1.center) -- (v2.center) -- (v3.center) -- cycle; \fill[color=lightgray] (v1.center) -- (v2.center) -- (v4.center) -- cycle; \draw (v1) -- (v2); \draw (v1) -- (v3); \draw (v1) -- (v4); \draw (v2) -- (v3); \draw (v2) -- (v4); \draw (v3) -- (v4); \node[circle, draw, fill=black, inner sep=1.5pt] at (-4/3,0) {}; \node[circle, draw, fill=black, inner sep=1.5pt] at (0,0) {}; \node[circle, draw, fill=black, inner sep=1.5pt] at (3/4,1) {}; \node[circle, draw, fill=black, inner sep=1.5pt] at (3/4,-1) {}; \end{tikzpicture}
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\begin{tikzpicture} \def\psize{1.5cm} \def\msize{1.35cm} \def\w{.8cm} % block size \foreach \b in {0,1}{ \draw[fill=gray!30,xshift=-\msize+\b*\w,yshift=\msize-\b*\w] (0,0)--(\w,0)--(\w,-\w)--(0,-\w)--cycle; \draw[xshift=-\msize+\b*\w,yshift=\msize-\b*\w-.2cm, <->] (0,-.4)--(\w,-.4); \draw[xshift=-\msize+\b*\w,yshift=\msize-\b*\w, <->] (.2,-\w)--(.2,0); \node at (-\msize+\b*\w+.35cm,\msize-\b*\w-.4cm) {$d$}; } \node at (.2,0) [below right] {$\ddots$}; \node at (-\psize,0) {$\left(\vphantom{\rule{\psize}{\psize}}\right.$}; \node at (\psize,0) {$\left.\vphantom{\rule{\psize}{\psize}}\right)$}; \end{tikzpicture}
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326
301
\begin{tikzpicture}[scale=1.15] \filldraw[fill=none, very thick, fill=gray!20!white] (0,0) circle [radius=2.25cm]; \draw (0,-0.1) -- ++ (0,0.2); \draw (-0.1,0) -- ++ (0.2,0); \node[anchor=west] (M2) at (2.5, 1.9) {MISP 2}; \node[circle, fill=black, inner sep=1.75pt] (M2tc) at (0.4,1.9) {}; \draw (M2) -- (M2tc); \node[anchor=east] (M3) at (-2.5, 1.9) {MISP 3}; \node[circle, fill=black, inner sep=1.75pt] (M3tc) at (-0.4,1.9) {}; \draw (M3) -- (M3tc); \node[anchor=west] (M6) at (2.5, 1.25) {MISP 6}; \node[circle, fill=black, inner sep=1.75pt] (M6tc) at (0,1.25) {}; \draw (M6) -- (M6tc); \node[anchor=east] (M7) at (-2.5, 0.5) {MISP 7}; \node[circle, fill=black, inner sep=1.75pt] (M7tc) at (0,0.5) {}; \draw (M7) -- (M7tc); \node[anchor=west] (M5) at (2.5, 0.2) {MISP 5}; \node[circle, fill=black, inner sep=1.75pt] (M5tc) at (0,0.2) {}; \draw (M5) -- (M5tc); \node[anchor=east] (M4) at (-2.5, -1.4) {MISP 4}; \node[circle, fill=black, inner sep=1.75pt] (M4tc) at (0,-1.4) {}; \draw (M4) -- (M4tc); \node[anchor=west] (M1) at (2.5, -0.8) {MISP 1}; \node[circle, fill=black, inner sep=1.75pt] (M1tc) at (0,-0.8) {}; \draw (M1) -- (M1tc); \end{tikzpicture}
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stat
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190
799
\begin{tikzpicture} \begin{scope}[scale=1.6,yshift=0cm] \foreach \x in {-3,...,3}{ \fill[blue] (\x,0) circle [radius=3pt]; \fill[red] (\x,0.7) circle [radius=3pt]; } \foreach \x in {1,...,3}{ \draw[<->,orange,very thick] (\x,0.1)--(\x,0.6); } \foreach \x in {0,...,3}{ \draw[<->,brown,very thick] (\x+0.92,0.09)--(\x+0.09,0.64); } \node at (-4,0.35) {$\ldots$}; \node at (4.5,0.35) {$\ldots$}; \end{scope} \end{tikzpicture}
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physics
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459
723
\begin{tikzpicture} \draw[gray, thick] (-15,-1) -- (-16,-1); \draw[gray, thick] (-13,-2) -- (-18,-2); \filldraw[black] (-15,-1) circle (2pt) node[anchor=south] {$i+1$}; \filldraw[black] (-16,-1) circle (2pt) node[anchor=south] {$i$}; \filldraw[black] (-13,-2) circle (2pt) node[anchor=south] {$j'$}; \filldraw[black] (-18,-2) circle (2pt) node[anchor=south] {$j$}; \end{tikzpicture}
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math
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320
887
\begin{tikzpicture} \draw[lime, fill=lime] (0,0) circle [radius=0.13] node[white] {{\fontfamily{qag}\selectfont \tiny ID}}; \draw[white, fill=white] (-0.0625,0.095) circle [radius=0.007]; \end{tikzpicture}
plot
physics
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null
314
695
\begin{tikzpicture}[scale = 0.5] \draw[step=1cm,black,very thin] (-1, -1) grid (5,8); \fill[blue!40!white] (-1,-1) rectangle (0,0); \fill[blue!40!white] (-1,0) rectangle (0,1); \fill[blue!40!white] (-1,1) rectangle (0,2); \fill[blue!40!white] (-1,2) rectangle (0,3); \fill[blue!40!white] (-1,3) rectangle (0,4); \fill[blue!40!white] (-1,4) rectangle (0,5); \fill[blue!40!white] (-1,5) rectangle (0,6); \fill[blue!40!white] (-1,6) rectangle (0,7); \fill[blue!40!white] (-1,7) rectangle (0,8); \fill[blue!40!white] (0,-1) rectangle (1,0); \fill[blue!40!white] (0,0) rectangle (1,1); \fill[blue!40!white] (0,2) rectangle (1,3); \fill[blue!40!white] (0,4) rectangle (1,5); \fill[blue!40!white] (0,6) rectangle (1,7); \fill[blue!40!white] (1,-1) rectangle (2,0); \fill[blue!40!white] (1,1) rectangle (2,2); \fill[blue!40!white] (1,3) rectangle (2,4); \fill[blue!40!white] (1,5) rectangle (2,6); \fill[blue!40!white] (1,7) rectangle (2,8); \fill[blue!40!white] (2,-1) rectangle (3,0); \fill[blue!40!white] (2,0) rectangle (3,1); \fill[blue!40!white] (2,2) rectangle (3,3); \fill[blue!40!white] (2,4) rectangle (3,5); \fill[blue!40!white] (2,6) rectangle (3,7); \fill[blue!40!white] (3,-1) rectangle (4,0); \fill[blue!40!white] (3,1) rectangle (4,2); \fill[blue!40!white] (3,3) rectangle (4,4); \fill[blue!40!white] (3,5) rectangle (4,6); \fill[blue!40!white] (3,7) rectangle (4,8); \fill[blue!40!white] (4,-1) rectangle (5,0); \fill[blue!40!white] (4,0) rectangle (5,1); \fill[blue!40!white] (4,1) rectangle (5,2); \fill[blue!40!white] (4,2) rectangle (5,3); \fill[blue!40!white] (4,3) rectangle (5,4); \fill[blue!40!white] (4,4) rectangle (5,5); \fill[blue!40!white] (4,5) rectangle (5,6); \fill[blue!40!white] (4,6) rectangle (5,7); \fill[blue!40!white] (4,7) rectangle (5,8); \draw[step=1cm,black,very thin] (-1, -1) grid (5,8); \end{tikzpicture}
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math
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341